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Search: id:A081192
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| 1, 10, 101, 1030, 10601, 110050, 1151501, 12135070, 128702801, 1372684090, 14712104501, 158346365110, 1710428956601, 18532288986130, 201313313019101, 2191569650755150, 23901375026212001, 261062105099480170
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OFFSET
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0,2
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COMMENT
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Binomial transform of A060531.
Average of binomial and inverse binomial transforms of 10^n.
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FORMULA
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a(n)=20a(n-1)-99a(n-2), a(0)=1, a(1)=10. G.f. (1-10x)/((1-9x)(1-11x)). E.g.f. exp(10x)cosh(x). a(n)=9^n/2+11^n/2.
a(n)=sum{k=0..floor(n/2), C(n, 2k)10^(n-2k)}.
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CROSSREFS
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Sequence in context: A094945 A041041 A163461 this_sequence A108892 A162849 A041182
Adjacent sequences: A081189 A081190 A081191 this_sequence A081193 A081194 A081195
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 11 2003
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