login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A147842 Sum of all balanced numbers less than 10^n. 1
45, 540, 50040, 3364890, 334795890, 27671338200, 2761284321300, 241066406350560, 24071550717893160, 2164109364980520560, 216167870783354294560, 19804111510101766391920, 1978598460245429017365520, 183672136030518949796846320 (list; graph; refs; listen; history; text; internal format)
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

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 * A027783 A160837 A160838

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) and link to A147808 by M. F. Hasler, Nov 23 2008

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

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 14 16:48 EDT 2019. Contains 328022 sequences. (Running on oeis4.)