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

Author

Wolfdieter Lang, Jan 25 2002

Keywords

• nonn
• easy

Links

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

Crossrefs

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

Cf. A067402.

Programs

Mathematica

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

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

Extensions

More terms from Harvey P. Dale, Jun 02 2017