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Search: id:A081410
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| A081410 |
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a(1)=a(2)=1; a(n)=a(n-1)+a(n-2) + n (mod 3). |
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+0
2
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| 1, 1, 2, 4, 8, 12, 21, 35, 56, 92, 150, 242, 393, 637, 1030, 1668, 2700, 4368, 7069, 11439, 18508, 29948, 48458, 78406, 126865, 205273, 332138, 537412, 869552, 1406964, 2276517, 3683483, 5960000, 9643484, 15603486, 25246970, 40850457
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OFFSET
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1,3
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FORMULA
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a(n)=floor(C*F(n))+b(n) where C=(9-sqrt(5))/4, F(n) is the n-th Fibonacci number and b(n) is the 6-periodic sequence (0, 0, -1, -1, 0, -1)
G.f.: (2x^4+1) / [(1-x^3)(1-x-x^2)].
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CROSSREFS
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Cf. A004695.
Sequence in context: A131770 A163489 A076651 this_sequence A027677 A103787 A032473
Adjacent sequences: A081407 A081408 A081409 this_sequence A081411 A081412 A081413
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 20 2003
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