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A083319
4^n+3^n-2^n.
2
1, 5, 21, 83, 321, 1235, 4761, 18443, 71841, 281315, 1106601, 4369403, 17304561, 68694995, 273202041, 1088057963, 4337948481, 17308878275, 69106635081, 276039644123, 1102997363601, 4408504767155, 17623562909721, 70462878967883
OFFSET
0,2
COMMENTS
Binomial transform of A083318
FORMULA
a(n)=4^n+3^n-2^n.
G.f. (1-4x+2x^2)/((1-2x)(1-3x)(1-4x)).
E.g.f. exp(4x)+exp(3x)-exp(2x)
MATHEMATICA
CoefficientList[Series[(1-4x+2x^2)/((1-2x)(1-3x)(1-4x)), {x, 0, 40}], x] (* Harvey P. Dale, Mar 28 2011 *)
CROSSREFS
Cf. A083320.
Sequence in context: A216271 A026017 A132310 * A146041 A146585 A351363
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 25 2003
STATUS
approved