A152802 a(n) = A152800(n+2,2n+1) for n>=0.

1, 3, 10, 41, 172, 749, 3332, 15041, 68640, 315840, 1462798, 6810588, 31846811, 149459541, 703592472, 3321019270, 15711717162, 74482623635, 353723268817, 1682536854931, 8014676326925, 38226681972410, 182538225520073

Offset: 0

Author

Paul D. Hanna, Dec 26 2008

Keywords

• nonn

Comments

Triangle A152800 gives a q-analog of the Euler numbers.

Links

• M. M. Graev, Einstein equations for invariant metrics on flag spaces and their Newton polytopes, Transactions of the Moscow Mathematical Society, 2014, pp. 13-68. Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 75 (2014), vypusk 1.

Crossrefs

Cf. A152800; A152801.

Programs

PARI

{a(n)=polcoeff(polcoeff(1/sum(m=0,n+2,(-1)^m*x^(2*m)/prod(j=1,2*m,(q^j-1)/(q-1))+x*O(x^(2*n+4))),2*n+4,x)*prod(j=1,2*n+4,(q^j-1)/(q-1)),2*n+1,q)}