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Search: id:A052262
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| 1, 13, 136, 1370, 13715, 137171, 1371738, 13717416, 137174205, 1371742105, 13717421116, 137174211238, 1371742112471
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
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FORMULA
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a(n)={100[(10^(n+1))-1]/729}-{10(n+1)/81}-C(n+2, 2)/9; n >= 0.
G.f. : 1/((1-10x)(1-x)^3); a(n)=sum{k=0..n, binomial(n+2, k+2)9^k}. - Paul Barry (pbarry(AT)wit.ie), Aug 24 2004
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EXAMPLE
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a(n)=10a(n-1)+C(n+2,2); a(-1)=0.
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CROSSREFS
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Cf. A014824, A002275 and A011557.
Sequence in context: A019519 A112225 A069511 this_sequence A065550 A078795 A123299
Adjacent sequences: A052259 A052260 A052261 this_sequence A052263 A052264 A052265
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KEYWORD
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easy,nonn
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AUTHOR
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Barry E. Williams, Feb 03 2000
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