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Search: id:A147842
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| A147842 |
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Sum of all balanced numbers less than 10^n. |
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+0
1
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| 45, 540, 50040, 3364890, 334795890, 27671338200, 2761284321300, 241066406350560, 24071550717893160, 2164109364980520560, 216167870783354294560, 19804111510101766391920
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OFFSET
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1,1
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COMMENT
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See reference for definition of balanced number.
Partial sums of A147808. Up to n=3, equal to the sum of palindromes A002113 < 10^n; then it differs from this sequence by the sum of terms < 10^n in A145808. [From M. F. Hasler (MHasler(AT)univ-ag.fr), Nov 23 2008]
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LINKS
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Project Euler Problem 217
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FORMULA
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a(n) = sum( k=1..n, A147808(k)) [From M. F. Hasler (MHasler(AT)univ-ag.fr), Nov 23 2008]
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PROGRAM
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(PARI) s=0; A147842 = vector(13, k, s+=A147808(k)) [From M. F. Hasler (MHasler(AT)univ-ag.fr), Nov 23 2008]
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CROSSREFS
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Sequence in context: A086576 A147808 A093529 this_sequence A027783 A090024 A160234
Adjacent sequences: A147839 A147840 A147841 this_sequence A147843 A147844 A147845
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KEYWORD
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nonn
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AUTHOR
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Alexis Olson (AlexisOlson(AT)gmail.com), Nov 14 2008
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EXTENSIONS
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a(9) - a(13) and link to A147808 by M. F. Hasler (MHasler(AT)univ-ag.fr), Nov 23 2008
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