A101177 -id:A101177

Search: a101177 -id:a101177

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A101178

Largest squarefree number that divides A101177(n).

+20
5

2, 6, 30, 210, 6006, 67830, 690690, 35303730, 3383531970, 29248649430, 1846079805570, 220495674290430, 15231748284963210, 328001307608664690, 58030069605260142390, 4938238739984380540710, 182365421703667931839110

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

OFFSET

1,1

COMMENTS

First differs from A077176 at a(18).

LINKS

Table of n, a(n) for n=1..17.

CROSSREFS

Cf. A101174, A101175, A101176, A101177, A101179.

KEYWORD

nonn

AUTHOR

Ray Chandler, Dec 03 2004

STATUS

approved

A101179

A101177(n) / A101178(n).

+20
5

1, 2, 1, 24, 64, 540, 8640, 34560, 103680, 3326400, 23224320, 96768000, 764225280, 24385536000, 108391219200, 1097349120000, 29847896064000, 347640201216000, 12239832084480000, 2008587829248000, 365022211276800000

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

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..21.

CROSSREFS

Cf. A101174, A101175, A101176, A101177, A101178.

KEYWORD

nonn

AUTHOR

Ray Chandler, Dec 03 2004

STATUS

approved

A101176

Final terms of rows of triangle in A101174.

+10
6

2, 4, 6, 10, 16, 21, 28, 36, 48, 55, 66, 80, 91, 105, 121, 137, 153, 172, 190, 211, 231, 254, 278, 302, 328, 355, 383, 412, 443, 472, 505, 538, 573, 610, 647, 685, 723, 764, 803, 848, 892, 937, 981, 1030, 1077, 1117, 1177, 1229, 1281, 1337, 1389, 1442, 1502

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

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..53.

CROSSREFS

Cf. A101174, A101175, A101177, A101178, A101179.

KEYWORD

nonn

AUTHOR

Ray Chandler, Dec 03 2004

EXTENSIONS

More terms from David Wasserman, Mar 07 2008

STATUS

approved

A101174

Triangle formed by grouping the natural numbers so that the n-th row contains n numbers whose product has exactly n prime divisors, minimizing (1) final term of row and (2) product of terms of row.

+10
5

2, 3, 4, 1, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 48, 44, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72

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

OFFSET

1,1

COMMENTS

Variation of A077172.

LINKS

Table of n, a(n) for n=1..72.

EXAMPLE

Triangle begins:

3,4

1,5,6

7,8,9,10

11,12,13,14,16

15,17,18,19,20,21

22,23,24,25,26,27,28

29,30,31,32,33,34,35,36

37,38,39,40,41,42,43,45,48

44,46,47,49,50,51,52,53,54,55

56,57,58,59,60,61,62,63,64,65,66

67,68,69,70,71,72,73,74,75,76,77,80

78,79,81,82,83,84,85,86,87,88,89,90,91

CROSSREFS

Cf. A101175, A101176, A101177, A101178, A101179.

Cf. A093451.

KEYWORD

nonn,tabl

AUTHOR

Ray Chandler, Dec 03 2004

STATUS

approved

A101175

Initial terms of rows of triangle in A101174.

+10
5

2, 3, 1, 7, 11, 15, 22, 29, 37, 44, 56, 67, 78, 92, 106, 119, 136, 154, 169, 191, 210, 232, 252, 273, 297, 323, 343, 364, 392, 420, 450, 480, 506, 532, 567, 595, 625, 660, 690, 726, 759, 798, 833, 867, 900, 980, 1020, 1020, 1054, 1092, 1134, 1178, 1218, 1265

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

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..54.

CROSSREFS

Cf. A101174, A101176, A101177, A101178, A101179.

KEYWORD

nonn

AUTHOR

Ray Chandler, Dec 03 2004

EXTENSIONS

More terms from David Wasserman, Mar 07 2008

STATUS

approved

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