A220089 a(n) = 2^n - 243.

-242, -241, -239, -235, -227, -211, -179, -115, 13, 269, 781, 1805, 3853, 7949, 16141, 32525, 65293, 130829, 261901, 524045, 1048333, 2096909, 4194061, 8388365, 16776973, 33554189, 67108621, 134217485, 268435213, 536870669, 1073741581, 2147483405, 4294967053

Offset

0,1

Links

Table of n, a(n) for n=0..32.

Index entries for linear recurrences with constant coefficients, signature (3,-2).

Formula

From Chai Wah Wu, Jan 17 2020: (Start)

a(n) = 3*a(n-1) - 2*a(n-2) for n > 1.

G.f.: (485*x - 242)/((x - 1)*(2*x - 1)). (End)

From Elmo R. Oliveira, Nov 11 2023: (Start)

a(n) = 2*a(n-1) + 243 with a(0) = -242.

E.g.f.: exp(2*x) - 243*exp(x). (End)

Mathematica

Table[2^n - 243, {n, 0, 40}] (* T. D. Noe, Dec 04 2012 *)

Crossrefs

Cf. A000225, A036563, A185346, A220087, A220088.

Sequence in context: A259092 A060110 A113468 * A039665 A259719 A023703

Adjacent sequences: A220086 A220087 A220088 * A220090 A220091 A220092

Keyword

sign

Author

Andreas Rieber, Dec 04 2012

Status

approved