A300438 Expansion of (1+x)^3/(1-x-2*x^2-x^3+x^4).

1, 4, 9, 19, 40, 83, 173, 360, 749, 1559, 3244, 6751, 14049, 29236, 60841, 126611, 263480, 548307, 1141037, 2374520, 4941421, 10283191, 21399516, 44532799, 92673601, 192855524, 401336009, 835187859, 1738041800, 3616898003, 7526833453, 15663483400, 32596006509, 67832908759, 141161571724, 293759912351

Offset

0,2

Comments

The number of N-color odd self-inverse compositions of (2*n+1).

Links

Table of n, a(n) for n=0..35.

Y.-h. Guo, n-Color Odd Self-Inverse Compositions, J. Int. Seq. 17 (2014) # 14.10.5, Table 1 and Corollary 11.

Index entries for linear recurrences with constant coefficients, signature (1,2,1,-1).

Crossrefs

Row sums of A300437.

Cf. A119749.

Sequence in context: A372448 A301137 A214318 * A034479 A326340 A183304

Adjacent sequences: A300435 A300436 A300437 * A300439 A300440 A300441

Keyword

nonn,easy

Author

R. J. Mathar, Mar 05 2018

Status

approved