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A083324 An alternating sum of decreasing powers. 4
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; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A083323

FORMULA

a(n)=4^n-3^n+2^n G.f. (1-6x+10x^2)/((1-2x)(1-3x)(1-4x)) E.g.f. exp(4x)-exp(3x)+exp(2x)

CROSSREFS

Equals 2 * A053154(n) + 1.

Sequence in context: A151110 A151111 A151112 * A151113 A151114 A083878

Adjacent sequences:  A083321 A083322 A083323 * A083325 A083326 A083327

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 27 2003

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.