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A096748 Expansion of (1+x)^2/(1-x^2-x^4). +0
2
1, 2, 2, 2, 3, 4, 5, 6, 8, 10, 13, 16, 21, 26, 34, 42, 55, 68, 89, 110, 144, 178, 233, 288, 377, 466, 610, 754, 987, 1220, 1597, 1974, 2584, 3194, 4181, 5168, 6765, 8362, 10946, 13530, 17711, 21892, 28657, 35422, 46368, 57314, 75025, 92736, 121393, 150050 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=a(n-2)+a(n-4); a(n)=2F((n+1)/2)(1-(-1)^n)/2+F((n+4)/2)(1+(-1)^n)/2; a(2n)=F(n+2); a(2n+1)=2F(n+1).

a(n)=sum{k=0..n, binomial(floor((n-k)/2), floor(k/2))} - Paul Barry (pbarry(AT)wit.ie), Jul 24 2004

CROSSREFS

Cf. A000045.

Sequence in context: A102240 A026837 A005855 this_sequence A022866 A099388 A022869

Adjacent sequences: A096745 A096746 A096747 this_sequence A096749 A096750 A096751

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jul 07 2004

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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