OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for the first 100 rows, flattened
D. Dumont and J. Zeng, PolynĂ´mes d'Euler et les fractions continues de Stieltjes-Rogers, preprint 1996.
D. Dumont and J. Zeng, PolynĂ´mes d'Euler et les fractions continues de Stieltjes-Rogers, Ramanujan J. 2 (1998) 3, 387-410.
FORMULA
a(n) = A007318(2n) if both are regarded as integer sequences. - Michael Somos, Feb 11 2004
EXAMPLE
Triangle begins:
1;
1;
2;
1, 3;
1, 6, 1;
5, 10, 1;
6, 20, 6;
1, 21, 35, 7;
MATHEMATICA
Table[If[k < 0 || k > (Floor[n/4] + Floor[(n + 1)/4]), 0, Binomial[n, 2*k + Mod[Floor[(n + 1)/2], 2]]], {n, 0, 20}, {k, 0, (Floor[n/4] + Floor[(n + 1)/4])}] // Flatten (* G. C. Greubel, Feb 23 2018 *)
PROG
(PARI) {T(n, k) = if( k<0 || k>n\4 + (n+1)\4, 0, binomial(n, 2*k + (n+1)\2%2))}; /* Michael Somos, Feb 11 2004 */
CROSSREFS
KEYWORD
nonn,easy,tabf
AUTHOR
STATUS
approved