A132796 Second diagonal of Gely numbers.

0, 1, 0, 5, 6, 21, 36, 85, 162, 341, 672, 1365, 2718, 5461, 10908, 21845, 43674, 87381, 174744, 349525, 699030, 1398101, 2796180, 5592405, 11184786, 22369621, 44739216, 89478485, 178956942, 357913941, 715827852

Offset: 0

Author

Olivier Gérard, Aug 31 2007

Keywords

• nonn
• easy

References

• Charles 0. Gely, Un tableau de conversion des polynomes cyclotomiques cousin des nombres Euleriens, Preprint Univ. Paris 7, 1999.
• Olivier Gérard, Quelques facons originales de compter les permutations, submitted to Knuth07.
• Olivier Gérard and Karol Penson, Set partitions, Multiset permutations and bi-permutations, in preparation.

Crossrefs

Second diagonal of A132795.

Formula

G(n,n-1)= Sum((-1)^j (n+1 choose j) ((n-1-j)^(n+1)-1)/(n-1-j-1= ), 0<=j<=n-1).