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A183203 Antidiagonal sums of triangle A183202. 1
1, 1, 3, 4, 9, 14, 31, 53, 117, 215, 478, 930, 2092, 4266, 9732, 20645, 47820, 104941, 246931, 558190, 1334462, 3097018, 7521731, 17874931, 44092014 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..24.

PROG

(PARI) {A131338(n, k)=if(k>n*(n+1)/2|k<0, 0, if(k<=n, 1, sum(i=0, k-n, A131338(n-1, i))))}

{A183202(n, k)=if(n==k, A131338(n, n*(n+1)/2), sum(j=n*k-k*(k-1)/2, n*k-k*(k-1)/2+n-k-1, A131338(n, j)))}

{a(n)=sum(k=0, n, A183202(n-k, k))}

CROSSREFS

Cf. A183202.

Sequence in context: A096081 A054162 A174783 * A321680 A215667 A125874

Adjacent sequences:  A183200 A183201 A183202 * A183204 A183205 A183206

KEYWORD

more,nonn

AUTHOR

Paul D. Hanna, Dec 30 2010

STATUS

approved

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Last modified July 15 14:28 EDT 2019. Contains 325031 sequences. (Running on oeis4.)