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A055530
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).
0
1, 10, 110, 1410, 22110, 428610, 10027710, 274463010, 8585407710, 302029998210, 11804909261310, 507547187120610, 23805911748929310, 1209638912316543810, 66192799008847310910, 3880867089138927234210, 242703222549879015746910
OFFSET
0,2
REFERENCES
Alex Walker, On the Growth of Sequences, 2007
FORMULA
a(n) = Sum_{x>=1} (9^(n+1))(x^n) / 10^x. - Alexander Walker, Feb 26 2007
MAPLE
a:=n->sum(9^(n+1)*x^n/10^x, x=1..infinity): seq(a(n), n=0..17); # Emeric Deutsch, Mar 23 2007
CROSSREFS
Sequence in context: A143749 A276507 A049398 * A108487 A099883 A337351
KEYWORD
frac,nonn
AUTHOR
Henry Bottomley, Jul 04 2000
EXTENSIONS
Corrected and extended by Emeric Deutsch, Mar 23 2007
STATUS
approved