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A110542 Row sums of number triangle A110541. 2
1, 2, 3, 5, 9, 19, 48, 140, 458, 1635, 6272, 25580, 110130, 497832, 2352807, 11584809, 59251847, 313995514, 1720289573, 9725340014, 56636885799, 339259270680, 2087446695738, 13177129073994, 85244657070582, 564567565446106 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..690

FORMULA

a(n)=sum{k=0..n, sum{j=0..n-k, C((k-1)*(n-k)-(k-2)*j, j)*C(j, n-k-j)}}

MATHEMATICA

A110542[n_] := Sum[Sum[Binomial[(k - 1)*(n - k) - (k - 2)*j, j]* Binomial[j, n - k - j], {j, 0, n - k}], {k, 0, n}]; Table[A110542[n], {n, 0, 50}] (* G. C. Greubel, Aug 31 2017 *)

PROG

(PARI) for(n=0, 20, print1(sum(k=0, n, sum(j=0, n-k, binomial((k-1)*(n-k) -(k-2)*j, j)*binomial(j, n-k-j))), ", ")) \\ G. C. Greubel, Aug 31 2017

CROSSREFS

Sequence in context: A077643 A123389 A113984 * A101542 A101581 A287915

Adjacent sequences:  A110539 A110540 A110541 * A110543 A110544 A110545

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jul 25 2005

STATUS

approved

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Last modified July 24 11:42 EDT 2021. Contains 346273 sequences. (Running on oeis4.)