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Search: id:A072100
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| A072100 |
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Column 2 of the array m(i,1)=m(1,j)=1 m(i,j)=m(i-1,j-1)+m(i-1,j+1) (a(n)=m(n,2)). |
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+0
3
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| 1, 2, 3, 5, 8, 14, 24, 44, 79, 149, 275, 527, 989, 1913, 3629, 7061, 13496, 26366, 50676, 99296, 191674, 376430, 729146, 1434578, 2786656, 5490812, 10691112, 21091712, 41150012, 81266612, 158825372, 313942892, 614483087, 1215563477
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Partial sums of A001405, to which an additional leading 1 is added. - Paul Barry (pbarry(AT)wit.ie), Oct 12 2004
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FORMULA
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G.f.: 1/2*x*(((1+2*x)/(1-2*x))^(1/2)-1)/(1-x)-1. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 15 2004
G.f. : (sqrt(1+2x)+1/sqrt(1-2x))/((1-x)(sqrt(1+2x)+sqrt(1-2x))); a(n)=1+sum{k=0..n, binomial(n-1, floor((n-1)/2)}. - Paul Barry (pbarry(AT)wit.ie), Oct 12 2004
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CROSSREFS
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Cf. A036256.
Sequence in context: A079500 A007059 A108296 this_sequence A104882 A091956 A107480
Adjacent sequences: A072097 A072098 A072099 this_sequence A072101 A072102 A072103
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KEYWORD
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easy,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 30 2002
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