A147842 Sum of all balanced numbers less than 10^n.

45, 540, 50040, 3364890, 334795890, 27671338200, 2761284321300, 241066406350560, 24071550717893160, 2164109364980520560, 216167870783354294560, 19804111510101766391920, 1978598460245429017365520, 183672136030518949796846320

Offset

1,1

Comments

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. - M. F. Hasler, Nov 23 2008

Links

Wei Zhou, Table of n, a(n) for n = 1..46

Project Euler, Problem 217: Balanced Numbers

Formula

a(n) = Sum_{k=1..n} A147808(k). - M. F. Hasler, Nov 23 2008

Prog

(PARI) s=0; A147842 = vector(13, k, s+=A147808(k)) \\ M. F. Hasler, Nov 23 2008

Crossrefs

Sequence in context: A197501 A283116 A223047 * A349849 A027783 A160837

Adjacent sequences: A147839 A147840 A147841 * A147843 A147844 A147845

Keyword

nonn,base

Author

Alexis Olson (AlexisOlson(AT)gmail.com), Nov 14 2008

Extensions

a(9)-a(12) from M. F. Hasler, Nov 23 2008

a(13)-a(46) added by Wei Zhou, Oct 10 2011

Status

approved