A128579 Antidiagonal sums of table A128570.

1, 2, 7, 44, 419, 5254, 80687, 1458524, 30259147, 707813762, 18421139495, 527856303160, 16513700403347, 560082210938174, 20471657576850655, 802275966701866964, 33560323690860843995, 1492638035099491033402

Offset: 0

Author

Paul D. Hanna, Mar 11 2007

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A128570 (triangle), rows: A128318, A128571, A128572, A128573, A128574, A128575, A128576; A128577 (square of row 0), A128578 (main diagonal).

Programs

PARI

{a(n)=local(F=1+x,A=0);for(k=0,n, for(j=0,k,F=1+(n+1-j)*x*F^2 +x*O(x^k));A+=polcoeff(F,k));A}

Formula

a(n) ~ exp(1/2) * A128318(n). - Vaclav Kotesovec, Mar 19 2016