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A257674 INVERT transform of planar partitions. 4
1, 1, 4, 13, 44, 144, 478, 1573, 5193, 17118, 56457, 186153, 613865, 2024192, 6674843, 22010313, 72579382, 239331323, 789198395, 2602391853, 8581422014, 28297352194, 93310894654, 307693910316, 1014624748161, 3345738548716, 11032617200372, 36380201398917 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1930

FORMULA

a(n) = Sum_{k=0..n} A257673(n,k).

a(n) ~ c * d^n, where d = 3.2975132503126723336836261261699651439543806296893328114462016186843..., c = 0.3713883419445088444000361183895708557141471246022776707501762842135... . - Vaclav Kotesovec, May 19 2015

G.f.: 1/(2 - Product_{k>=1} 1/(1 - x^k)^k). - Ilya Gutkovskiy, Oct 18 2018

MAPLE

g:= proc(n) option remember; `if`(n=0, 1, add(

      g(n-j)*numtheory[sigma][2](j), j=1..n)/n)

    end:

a:= proc(n) option remember; `if`(n=0, 1,

      add(a(n-i)*g(i), i=1..n))

    end:

seq(a(n), n=0..36);

CROSSREFS

Row sums of A257673.

Cf. A000219.

Sequence in context: A219708 A345230 A117882 * A027123 A291236 A339850

Adjacent sequences:  A257671 A257672 A257673 * A257675 A257676 A257677

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 03 2015

STATUS

approved

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Last modified August 5 12:32 EDT 2021. Contains 346467 sequences. (Running on oeis4.)