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Search: id:A016208
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| A016208 |
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Expansion of 1/((1-x)(1-3x)(1-4x)). |
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+0
7
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| 1, 8, 45, 220, 1001, 4368, 18565, 77540, 320001, 1309528, 5326685, 21572460, 87087001, 350739488, 1410132405, 5662052980, 22712782001, 91044838248, 364760483725, 1460785327100, 5848371485001, 23409176469808
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A085277. - Paul Barry (pbarry(AT)wit.ie), Jun 25 2003
Number of walks of length 2n+5 between two nodes at distance 5 in the cycle graph C_12. - Herbert Kociemba (kociemba(AT)t-online.de), Jul 05 2004
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FORMULA
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a(n)=16*4^n/3+1/6-9*3^n/2. - Paul Barry (pbarry(AT)wit.ie), Jun 25 2003
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MAPLE
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a:=n->sum(4^(n-j)-3^(n-j), j=0..n): seq(a(n), n=1..22); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 04 2007
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CROSSREFS
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Cf. A000392, A000225, A003462, A003463, A003464, A023000, A023001, A002452, A002275, A016123, A016125, A016256.
Sequence in context: A055222 A026015 A002696 this_sequence A026852 A110609 A032208
Adjacent sequences: A016205 A016206 A016207 this_sequence A016209 A016210 A016211
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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