A067414 Seventh column of triangle A067410.

1, 8, 112, 1568, 21952, 307328, 4302592, 60236288, 843308032, 11806312448, 165288374272, 2314037239808, 32396521357312, 453551299002368, 6349718186033152, 88896054604464128, 1244544764462497792, 17423626702474969088, 243930773834649567232, 3415030833685093941248

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..850

Index entries for linear recurrences with constant coefficients, signature (14).

Formula

a(n) = A067410(n+6,6).

a(n) = 8*14^(n-1), n>=1, a(0)=1.

G.f.: (1-6*x)/(1-14*x).

E.g.f.: (3 + 4*exp(14*x))/7 = exp(7*x)*(cosh(7*x) + sinh(7*x)/7). - Elmo R. Oliveira, Jun 07 2026

Mathematica

Join[{1}, 8*14^Range[0, 20]] (* Paolo Xausa, Jun 23 2026 *)

Crossrefs

Cf. A067410.

Cf. A067413 (sixth column), A067415 (eighth column), A001023 (powers of 14).

Sequence in context: A053536 A139741 A067900 * A265665 A386918 A388728

Adjacent sequences: A067411 A067412 A067413 * A067415 A067416 A067417

Keyword

nonn,easy,changed

Author

Wolfdieter Lang, Jan 25 2002

Extensions

More terms from Elmo R. Oliveira, Jun 07 2026

Status

approved