A370964 a(n) = number of "weakly lonesum" 2 X 2 X n tensors.

1, 16, 254, 4006, 62834, 980926, 15251714, 236305246, 3649992194, 56225671966, 864046126274, 13249946549086, 202798763405954, 3098675363464606, 47273845225223234, 720219685203906526, 10958863373616410114, 166560903942055522846, 2528904905860164038594

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Don Knuth, Parades and poly-Bernoulli bijections, Mar 31 2024. See (19.13).

Filip Stappers, Problems concerning parades and poly-Bernoulli numbers, 2024. See Problem 9.

Index entries for linear recurrences with constant coefficients, signature (29,-210).

Formula

From Filip Stappers, Aug 25 2024: (Start)

a(n) = 2*15^n - 14^n.

G.f.: (1-13*z) / ((1-15*z)*(1-14*z)). (End)

Crossrefs

Cf. A370962, A370963, A370965.

Sequence in context: A317894 A228982 A158531 * A171321 A077412 A208498

Adjacent sequences: A370961 A370962 A370963 * A370965 A370966 A370967

Keyword

nonn,easy

Author

N. J. A. Sloane, Apr 04 2024

Extensions

a(7) from Michael S. Branicky, Apr 07 2024

a(0) and more terms from Filip Stappers, Aug 25 2024

Status

approved