A362111 Related to shifted Genocchi medians.

1, 1, 5, 41, 493, 8161, 178469, 4998905, 174914077, 7487810257, 385307632469, 23477954308841, 1672313866643917, 137703723643494721, 12981787835378567045, 1389285520249200892889, 167515121086596348291709, 22605814306270350503723185, 3393854148421455726168715445

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Bishal Deb and Alan D. Sokal, Classical continued fractions for some multivariate polynomials generalizing the Genocchi and median Genocchi numbers, arXiv:2212.07232 [math.CO], 2022. See (2.44).

Mathematica

Rest@CoefficientList[Fold[#2/(1-#1)&, O[t], t Reverse@Table[Ceiling[n/2]^2, {n, 20}]], t] (* Andrei Zabolotskii, Jul 09 2025 *)

Crossrefs

Cf. A005439.

Sequence in context: A346982 A143415 A056545 * A325888 A347951 A275787

Adjacent sequences: A362108 A362109 A362110 * A362112 A362113 A362114

Keyword

nonn

Author

N. J. A. Sloane, Apr 14 2023

Extensions

Terms a(10) onwards from Andrei Zabolotskii, Jul 09 2025

Status

approved