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A053439 Expansion of (1+x+2*x^3)/((1-x)*(1-x^2)^2). +0
1
1, 2, 4, 8, 11, 18, 22, 32, 37, 50, 56, 72, 79, 98, 106, 128, 137, 162, 172, 200, 211, 242, 254, 288, 301, 338, 352, 392, 407, 450, 466, 512, 529, 578, 596, 648, 667, 722, 742, 800, 821, 882, 904, 968, 991, 1058, 1082, 1152, 1177, 1250, 1276 (list; graph; listen)
OFFSET

0,2

FORMULA

Even: a(2*n)= 2* n^2 +n +1, odd: a(2*n-1)= 2* n^2. - Frank Ellermann, Feb 11, 2002

a(n)=sum{k=0..n, C(n, mod(k, 2)) } - Paul Barry (pbarry(AT)wit.ie), Jul 24 2003

CROSSREFS

Sequence in context: A010068 A120632 A007295 this_sequence A033956 A159693 A053437

Adjacent sequences: A053436 A053437 A053438 this_sequence A053440 A053441 A053442

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 12 2000

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


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