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Search: id:A089905
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| A089905 |
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Sum of digits of numbers between 0 and (3/9)*(10^n-1). |
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+0
7
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| 0, 6, 183, 3285, 47787, 627789, 7777791, 92777793, 1077777795, 12277777797, 137777777799, 1527777777801, 16777777777803, 182777777777805, 1977777777777807, 21277777777777809, 227777777777777811
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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From a suggestion of Yalcin Aktar (aktaryalcin(AT)msn.com)
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FORMULA
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a(n)=s(3, n-1) where s(a, k)=a*(k+1)+a^2*sum(i=0, k, i*10^(k-i))+sum(i=0, k, 5*a*(9*(k-i)+a- 1)*10^(k-i-1))
Terms satisfy a(n)=22a(n-1)-141a(n-2)+220a(n-3)-100a(n-4) - T. D. Noe (noe(AT)sspectra.com), Nov 08 2006
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CROSSREFS
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Cf. A089903, A089904, A089906, A087330, A089906, A089907, A089908, A034967.
Sequence in context: A051357 A064120 A041429 this_sequence A012208 A012181 A012224
Adjacent sequences: A089902 A089903 A089904 this_sequence A089906 A089907 A089908
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 14 2003
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 08 2006
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