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Search: id:A055530
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| A055530 |
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The recurrence b(k)=10*b(k-1)+k^n with b(0)=0 has b(k)/10^k converging to a(n)/9^(n+1). |
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+0
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| 1, 10, 110, 1410, 22110, 428610, 10027710, 274463010, 8585407710, 302029998210, 11804909261310, 507547187120610, 23805911748929310, 1209638912316543810, 66192799008847310910, 3880867089138927234210, 242703222549879015746910
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OFFSET
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0,2
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REFERENCES
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Alex Walker, On the Growth of Sequences, 2007
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FORMULA
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Sum_{x from 1 to infinity} (9^(n+1))(x^n) / 10^x. - Alex Walker (asdfrbk(AT)gmail.com), Feb 26 2007
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MAPLE
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a:=n->sum(9^(n+1)*x^n/10^x, x=1..infinity): seq(a(n), n=0..17); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 23 2007
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CROSSREFS
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Cf. A002275, A014824.
Sequence in context: A057093 A055276 A049398 this_sequence A108487 A099883 A020767
Adjacent sequences: A055527 A055528 A055529 this_sequence A055531 A055532 A055533
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KEYWORD
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frac,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jul 04 2000
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EXTENSIONS
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Corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 23 2007
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