A047020 -id:A047020

A047021

a(n) = Sum_{i=0..n} T(i,n-i) where T is given by A047020.

+20
0

1, 2, 3, 5, 9, 18, 28, 53, 101, 195, 390, 704, 1371, 2676, 5253, 10506, 19840, 39056, 76968, 152168, 304336, 586864, 1161577, 2300544, 4565558, 9131116, 17813324, 35369544, 70256203, 139745471, 279490942, 549138068, 1092533184

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..32.

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

a(26) corrected by Sean A. Irvine, May 10 2021

STATUS

approved

A047022

T(n,n), array T given by A047020.

+20
0

1, 1, 2, 5, 19, 66, 227, 851, 3164, 11706, 44397, 168814, 641641, 2460264, 9462675, 36434340, 140822588, 545555490, 2116273293, 8226372157, 32029990809, 124856742546, 487360876726, 1904604296103, 7450351584876, 29172240231616

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..25.

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

A047023

T(n,n-1), array T given by A047020.

+20
0

1, 1, 4, 5, 19, 66, 293, 1144, 4308, 17158, 67007, 258431, 1012299, 3955448, 15396192, 60225003, 235693679, 921621773, 3610690891, 14157362951, 55517613242, 217923561656, 856025426013, 3363897769426, 13227528604439

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..25.

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

A047024

T(n,n-2), array T given by A047020.

+20
0

1, 2, 3, 7, 38, 66, 293, 1144, 5452, 22610, 89617, 370658, 1495184, 5933517, 23790663, 94871091, 376066283, 1494417598, 5930990794, 23487622433, 93066819110, 368664549287, 1459293473323, 5777177019563, 22871054333027

(list; graph; refs; listen; history; text; internal format)

OFFSET

2,2

LINKS

Table of n, a(n) for n=2..26.

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

A047025

T(n,n-3), array T given by A047020.

+20
0

1, 3, 7, 19, 37, 99, 586, 1144, 5452, 22610, 112227, 482885, 1978069, 8394471, 34646088, 140372604, 572795825, 2320299903, 9330259482, 37549205868, 150740987631, 603268047310, 2413279250137, 9643525728588, 38481447864172

(list; graph; refs; listen; history; text; internal format)

OFFSET

3,2

LINKS

Table of n, a(n) for n=3..27.

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

A047026

T(n,n+1), array T given by A047020.

+20
0

1, 2, 5, 14, 47, 161, 558, 2020, 7398, 27239, 101807, 383210, 1447965, 5507227, 21038148, 80597585, 309861811, 1194651520, 4615681266, 17872627858, 69339129304, 269437315070, 1048578870090, 4086453815450, 15944711627177

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..24.

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

A047027

T(n,n+2), array T given by A047020.

+20
0

1, 3, 9, 28, 95, 331, 1169, 4234, 15533, 57410, 214396, 806324, 3046963, 11575473, 44163245, 169039223, 649096030, 2499407973, 9646255701, 37309138495, 144580572524, 561217993364, 2181849519347, 8494360042301, 33111979073980

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..24.

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

A047028

T(n,n+3), array T given by A047020.

+20
0

1, 4, 14, 48, 170, 611, 2214, 8135, 30171, 112589, 423114, 1598998, 6068246, 23125097, 88441638, 339234219, 1304756453, 5030574435, 19436510637, 75241443220, 291780678294, 1133270649257, 4407906226851, 17167267446803

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..23.

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

A047029

T(2n,n), array T given by A047020.

+20
0

1, 1, 3, 19, 99, 624, 3684, 23379, 144877, 927084, 5882776, 37925111, 243908212, 1582102118, 10261788552, 66893579077, 436419943039, 2856304168480, 18714325924703, 122881818022921, 807744978199879, 5318012331907328

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..22.

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved