A333271 Irregular triangle read by rows: coefficients of the s-inflated Eulerian polynomial Q^(s)_n(x) where s is the sequence (1,3,5,...,2n-1).

1, 1, 2, 3, 2, 1, 1, 2, 4, 6, 9, 10, 11, 10, 9, 6, 4, 2, 1, 1, 2, 4, 8, 12, 18, 27, 36, 45, 54, 60, 66, 69, 66, 60, 54, 45, 36, 27, 18, 12, 8, 4, 2, 1

Offset

1,3

Links

Table of n, a(n) for n=1..44.

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

Example

Triangle begins:
  1;
  1, 2, 3, 2, 1;
  1, 2, 4, 6, 9, 10, 11, 10, 9, 6, 4, 2, 1;
  1, 2, 4, 8, 12, 18, 27, 36, 45, 54, 60, 66, 69, 66, 60, 54, 45, 36, 27, 18, 12, 8, 4, 2, 1;
  ...

Crossrefs

Cf. A333270, A333272.

Sequence in context: A321305 A339178 A026552 * A208233 A176270 A361802

Adjacent sequences: A333268 A333269 A333270 * A333272 A333273 A333274

Keyword

nonn,tabf,more

Author

N. J. A. Sloane, Mar 14 2020

Status

approved