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A083324 An alternating sum of decreasing powers. 5
1, 3, 11, 45, 191, 813, 3431, 14325, 59231, 242973, 990551, 4019205, 16249871, 65522733, 263668871, 1059425685, 4251986111, 17050860093, 68332318391, 273716169765, 1096025891951, 4387588255053, 17560809179111, 70274609387445 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A083323.

LINKS

Table of n, a(n) for n=0..23.

Index entries for linear recurrences with constant coefficients, signature (9,-26,24).

FORMULA

a(n) = 4^n - 3^n + 2^n

G.f.: (1-6*x+10*x^2)/((1-2*x)*(1-3*x)*(1-4*x))

E.g.f.: exp(4*x) - exp(3*x) + exp(2*x)

a(n) = 9*a(n-1) - 26*a(n-2) + 24*a(n-3). - Geoffrey Critzer, Dec 01 2013

MATHEMATICA

Table[4^n-3^n+2^n, {n, 0, 23}] (* Geoffrey Critzer, Dec 01 2013 *)

CROSSREFS

Equals 2 * A053154(n) + 1.

Sequence in context: A151111 A292278 A151112 * A238578 A151113 A151114

Adjacent sequences:  A083321 A083322 A083323 * A083325 A083326 A083327

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 27 2003

STATUS

approved

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Last modified November 19 00:50 EST 2017. Contains 294912 sequences.