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A217485 Convolution of the numbers in sequence A080253. 5
1, 6, 43, 396, 4565, 64146, 1073919, 20996376, 471081385, 11947911966, 338204687315, 10570101018276, 361458024882045, 13421571912745386, 537661560385125031, 23108777539028187696, 1060571767117824260945, 51760585513634983767606 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(n) = sum(c(k)*c(n.k),k=0..n), where c(n) = A080253(n).

a(n) ~ n! * 2^(n + 1/2) / (log(2))^(n+1). - Vaclav Kotesovec, Nov 27 2017

MATHEMATICA

t[n_] := Sum[StirlingS2[n, k] k!, {k, 0, n}]; c[n_] := Sum[Binomial[n, k] 2^k t[k], {k, 0, n}]; Table[Sum[c[k]c[n-k], {k, 0, n}], {n, 0, 100}]

PROG

(Maxima) t(n):=sum(stirling2(n, k)*k!, k, 0, n);

c(n):=sum(binomial(n, k)*2^k*t(k), k, 0, n);

makelist(sum(c(k)*c(n-k), k, 0, n), n, 0, 40);

CROSSREFS

Cf. A080253, A000670, A217483, A217484, A217486, A217487, A217488.

Sequence in context: A090010 A176732 A062266 * A290783 A159604 A090338

Adjacent sequences:  A217482 A217483 A217484 * A217486 A217487 A217488

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Oct 04 2012

STATUS

approved

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Last modified January 19 00:40 EST 2020. Contains 331030 sequences. (Running on oeis4.)