A067404 Fourth column of triangle A067402.

1, 7, 112, 1792, 28672, 458752, 7340032, 117440512, 1879048192, 30064771072, 481036337152, 7696581394432, 123145302310912, 1970324836974592, 31525197391593472, 504403158265495552, 8070450532247928832, 129127208515966861312, 2066035336255469780992, 33056565380087516495872

Offset

0,2

Links

Table of n, a(n) for n=0..19.

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

Formula

a(n) = A067402(n+3, 3).

a(n) = 7*16^(n-1), n>=1, a(0) = 1.

G.f.: (1-9*x)/(1-16*x).

E.g.f.: (9 + 7*exp(16*x))/16. - Stefano Spezia, Sep 30 2022

Mathematica

CoefficientList[Series[(1-9x)/(1-16x), {x, 0, 20}], x] (* Harvey P. Dale, Jun 02 2017 *)

Crossrefs

Cf. A067403 (third column), A067405 (fifth column), A001025 (powers of 16).

Cf. A067402.

Sequence in context: A094219 A212702 A217223 * A129030 A128576 A147631

Adjacent sequences: A067401 A067402 A067403 * A067405 A067406 A067407

Keyword

nonn,easy

Author

Wolfdieter Lang, Jan 25 2002

Extensions

More terms from Harvey P. Dale, Jun 02 2017

Status

approved