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A187666 Binomial convolution of the (signless) central Lah numbers (A187535) and the (signless) central Stirling numbers of the first kind (A187646). 0
1, 3, 51, 1599, 74545, 4654255, 365549495, 34642467783, 3846064986001, 489429448820811, 70208261310969435, 11205444535728231855, 1969021774778391995761, 377672618542009829524551, 78507169034687468202172591 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..14.

FORMULA

a(n) = Sum_{k=0..n} binomial(n,k) * Lah(2k,k) * Stirling1(2n-2k,n-k).

MAPLE

L := n -> if n=0 then 1 else binomial(2*n-1, n-1)*(2*n)!/n! fi;

seq(sum(binomial(n, k)*L(k)*abs(combinat[stirling1](2*(n-k), n-k)), k=0..n), n=0..12);

MATHEMATICA

L[n_] := If[n == 0, 1, Binomial[2n - 1, n - 1](2n)!/n!]

Table[Sum[Binomial[n, k]L[k]Abs[StirlingS1[2n - 2k, n - k]], {k, 0, n}], {n, 0, 14}]

PROG

(Maxima) L(n):= if n=0 then 1 else binomial(2*n-1, n-1)*(2*n)!/n!;

makelist(sum(binomial(n, k)*L(k)*abs(stirling1(2*n-2*k, n-k)), k, 0, n), n, 0, 12);

CROSSREFS

Cf. A187535, A187646.

Sequence in context: A307369 A126685 A246693 * A172434 A210676 A105639

Adjacent sequences:  A187663 A187664 A187665 * A187667 A187668 A187669

KEYWORD

nonn,easy

AUTHOR

Emanuele Munarini, Mar 12 2011

STATUS

approved

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Last modified June 26 10:23 EDT 2022. Contains 354879 sequences. (Running on oeis4.)