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

Author

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

Keywords

• nonn
• base

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

Programs

PARI

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

Formula

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

Extensions

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

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