A333270 Irregular triangle read by rows: coefficients of the s-inflated Eulerian polynomial Q^(s)_n(x) where s is the sequence (1,2,3,...n).

1, 1, 2, 1, 1, 2, 4, 4, 4, 2, 1, 1, 2, 4, 8, 11, 14, 16, 14, 11, 8, 4, 2, 1

Offset

1,3

References

Pensyl, Thomas W., and Carla D. Savage. "Rational lecture hall polytopes and inflated Eulerian polynomials." The Ramanujan Journal 31.1-2 (2013): 97-114.

Links

Table of n, a(n) for n=1..24.

Thomas W. Pensyl and Carla D. Savage, Rational lecture hall polytopes and inflated Eulerian polynomials, preprint 2011.

Example

Triangle begins:
  1;
  1, 2, 1;
  1, 2, 4, 4,  4,  2,  1;
  1, 2, 4, 8, 11, 14, 16, 14, 11, 8, 4, 2, 1;
  ...

Crossrefs

Cf. A333271, A333272.

Sequence in context: A253473 A026120 A108746 * A333272 A352501 A119558

Adjacent sequences: A333267 A333268 A333269 * A333271 A333272 A333273

Keyword

nonn,tabf,more

Author

N. J. A. Sloane, Mar 14 2020

Status

approved