A338693 -id:A338693

Search: a338693 -id:a338693

Displaying 1-6 of 6 results found.

page 1

A318638

Expansion of Sum_{n>=1} ( (3 + x^n)^n - 3^n ).

+10
5

1, 6, 27, 109, 405, 1467, 5103, 17550, 59050, 197100, 649539, 2126991, 6908733, 22325625, 71744625, 229602925, 731794257, 2324602206, 7360989291, 23245524600, 73222475256, 230128853031, 721764371007, 2259440202825, 7060738412026, 22029517662984, 68630377426119, 213516777941712, 663426981193869, 2058911488612863, 6382625094934119, 19765549255048254, 61149666233193318

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

CROSSREFS

Cf. A318636, A318637, A338693.

A338685

a(n) = Sum_{d|n} d^n * binomial(d, n/d).

+10
5

1, 8, 81, 1040, 15625, 282123, 5764801, 134610944, 3486804084, 100097656250, 3138428376721, 107025924222976, 3937376385699289, 155582338242342053, 6568408660888671875, 295155786482995691520, 14063084452067724991009, 708240750793407501694308, 37589973457545958193355601

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

CROSSREFS

Cf. A023887, A318636, A327238, A338684, A338693.

A338694

a(n) = Sum_{d|n} d^d * binomial(d, n/d).

+10
5

1, 8, 81, 1028, 15625, 280017, 5764801, 134219264, 3486784428, 100000031250, 3138428376721, 106993206079936, 3937376385699289, 155568095575106627, 6568408355712921875, 295147905179822588160, 14063084452067724991009, 708235345355351624428356, 37589973457545958193355601

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

CROSSREFS

Cf. A062796, A318636, A318637, A318638, A338693.

A360712

Expansion of Sum_{k>0} (k * x * (1 + k*x^k))^k.

+10
5

1, 5, 27, 272, 3125, 46915, 823543, 16781312, 387421218, 10000078125, 285311670611, 8916102153177, 302875106592253, 11112006865911623, 437893890381640625, 18446744074783358976, 827240261886336764177, 39346408075327943829273

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

CROSSREFS

Cf. A217668, A327249, A338693, A359700, A360618.

A360759

a(n) = Sum_{d|n} d^(d+n/d) * binomial(d,n/d).

+10
1

1, 16, 243, 4112, 78125, 1680345, 40353607, 1073766400, 31381060338, 1000000781250, 34522712143931, 1283918489808640, 51185893014090757, 2177953338656796883, 98526125335697265625, 4722366482899710050304, 239072435685151324847153

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

CROSSREFS

Cf. A318636, A327238, A338685, A338693, A338694.

A360770

Expansion of Sum_{k>0} (x * (k + x^k))^k.

+10
0

1, 5, 27, 260, 3125, 46684, 823543, 16777472, 387420498, 10000003125, 285311670611, 8916100495009, 302875106592253, 11112006826381559, 437893890380860625, 18446744073726328848, 827240261886336764177, 39346408075296925015353

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

CROSSREFS

Cf. A260148, A338693, A360712, A360771.

page 1

Search completed in 0.005 seconds