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Search: id:A099159
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| 1, 1, 4, 11, 33, 98, 293, 877, 2628, 7879, 23629, 70874, 212601, 637769, 1913252, 5739667, 17218857, 51656338, 154968637, 464905301, 1394714916, 4184143151, 12552426869, 37657276426, 112971822513, 338915456593, 1016746352068
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OFFSET
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0,3
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COMMENT
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Binomial transform of A052964.
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FORMULA
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G.f.: (1-3x+2x^2)/((1-3x)(1-x-x^2)); a(n)=((1+sqrt(5))/2)^n(3/10-sqrt(5)/10)+((1-sqrt(5))/2)^n(3/10+sqrt(5)/10)+3^n*2/5; a(n)=sum{k=0..n, (-2*0^k-Fib(k-4))3^(n-k)}.
a(n) = A101220(1, 3, n+1) - A101220(1, 3, n). - Ross La Haye (rlahaye(AT)new.rr.com), Aug 05 2005
a(n) = A098703(n+1) - A098703(n). - Ross La Haye (rlahaye(AT)new.rr.com), Sep 11 2005
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CROSSREFS
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Sequence in context: A149232 A149233 A034745 this_sequence A116394 A127154 A062460
Adjacent sequences: A099156 A099157 A099158 this_sequence A099160 A099161 A099162
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Oct 01 2004
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