A067415 Eighth column of triangle A067410.

1, 9, 144, 2304, 36864, 589824, 9437184, 150994944, 2415919104, 38654705664, 618475290624, 9895604649984, 158329674399744, 2533274790395904, 40532396646334464, 648518346341351424, 10376293541461622784, 166020696663385964544, 2656331146614175432704

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..800

Index entries for linear recurrences with constant coefficients, signature (16).

Formula

a(n) = A067410(n+7,7).

a(n) = 9*16^(n-1), n>=1, a(0)=1.

G.f.: (1-7*x)/(1-16*x).

E.g.f.: (7 + 9*exp(16*x))/16 = exp(8*x)*(cosh(8*x) + sinh(8*x)/8). - Elmo R. Oliveira, Jun 07 2026

Mathematica

Join[{1}, 9*16^Range[0, 20]] (* Paolo Xausa, Jun 23 2026 *)

Crossrefs

Cf. A067410.

Cf. A067414 (seventh column), A067416 (ninth column), A001025 (powers of 16).

Sequence in context: A281789 A134176 A325173 * A393407 A069134 A034829

Adjacent sequences: A067412 A067413 A067414 * A067416 A067417 A067418

Keyword

nonn,easy

Author

Wolfdieter Lang, Jan 25 2002

Extensions

More terms from Elmo R. Oliveira, Jun 07 2026

Status

approved