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A154252
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Expansion of (1-x+8x^2)/((1-x)(1-2x)) .
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3
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1, 2, 12, 32, 72, 152, 312, 632, 1272, 2552, 5112, 10232, 20472, 40952, 81912, 163832, 327672, 655352, 1310712, 2621432, 5242872, 10485752, 20971512, 41943032, 83886072, 167772152, 335544312, 671088632, 1342177272, 2684354552, 5368709112, 10737418232
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OFFSET
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0,2
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COMMENTS
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Binomial transform of 1,1,9,1,9,1,9,1,9,1,9,1,9,1,9,...
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LINKS
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Table of n, a(n) for n=0..31.
Index to sequences with linear recurrences with constant coefficients, signature (3,-2).
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FORMULA
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a(n)=3*a(n-1)-2*a(n-2), n>2 ; a(0)=1, a(1)=2, a(2)=12 . a(n)=2*a(n-1)+8, n>1 ; a(0)=1, a(1)=2 . a(n)=10*2^(n-1)-8, n>=1 ; a(0)=1 .
a(n)=-8+5*2^(n-1)+4*{C[2*(n-1),n-1] mod 2}, with n>=1 [From Paolo P. Lava, Jan 14 2009]
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PROG
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(PARI) Vec((1-x+8*x^2)/((1-x)*(1-2*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012
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CROSSREFS
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Cf.: A094373, A000079, A083329, A095121, A154117, A131128, A154118, A131130, A154251
Sequence in context: A139323 A225525 A009331 * A013198 A092345 A212761
Adjacent sequences: A154249 A154250 A154251 * A154253 A154254 A154255
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KEYWORD
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nonn,easy
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AUTHOR
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Philippe DELEHAM, Jan 05 2009
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EXTENSIONS
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Two terms corrected by Johannes W. Meijer, May 26 2011
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STATUS
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approved
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