A333270 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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, 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