A333272 Irregular triangle read by rows: coefficients of the s-inflated Eulerian polynomial Q^(s)_n(x) where s is the Fibonacci sequence (1,1,2,3,5,8,...).

1, 1, 1, 2, 1, 1, 2, 4, 4, 4, 2, 1, 1, 2, 4, 8, 12, 15, 18, 20, 18, 16, 13, 10, 6, 4, 2, 1

Offset

1,4

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..28.

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

Example

Triangle begins:
  1;
  1;
  1, 2, 1;
  1, 2, 4, 4,  4,  2,  1;
  1, 2, 4, 8, 12, 15, 18, 20, 18, 16, 13, 10, 6, 4, 2, 1;
  ...

Crossrefs

Cf. A333270, A333271.

Sequence in context: A026120 A108746 A333270 * A352501 A119558 A333450

Adjacent sequences: A333269 A333270 A333271 * A333273 A333274 A333275

Keyword

nonn,tabf,more

Author

N. J. A. Sloane, Mar 14 2020

Status

approved