A067413 Sixth column of triangle A067410.

1, 7, 84, 1008, 12096, 145152, 1741824, 20901888, 250822656, 3009871872, 36118462464, 433421549568, 5201058594816, 62412703137792, 748952437653504, 8987429251842048, 107849151022104576, 1294189812265254912, 15530277747183058944, 186363332966196707328

Offset

0,2

Comments

The fifth column is [1,6,60,600,6000,60000,...].

Links

Paolo Xausa, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (12).

Formula

a(n) = A067410(n+5,5).

a(n) = 7*12^(n-1), n>=1, a(0)=1.

G.f.: (1-5*x)/(1-12*x).

E.g.f.: (5 + 7*exp(12*x))/12 = exp(6*x)*(cosh(6*x) + sinh(6*x)/6). - Elmo R. Oliveira, Jun 07 2026

Mathematica

Join[{1}, 7*12^Range[0, 20]] (* Paolo Xausa, Jun 16 2026 *)

Crossrefs

Cf. A067410.

Cf. A067412 (fourth column), A067414 (seventh column), A001021 (powers of 12).

Sequence in context: A272496 A177009 A099674 * A370779 A166178 A346582

Adjacent sequences: A067410 A067411 A067412 * A067414 A067415 A067416

Keyword

nonn,easy

Author

Wolfdieter Lang, Jan 25 2002

Extensions

More terms from Elmo R. Oliveira, Jun 07 2026

Status

approved