The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A256075 Non-palindromic balanced numbers (in base 10). 13
 1030, 1140, 1250, 1302, 1360, 1412, 1470, 1522, 1580, 1603, 1632, 1690, 1713, 1742, 1823, 1852, 1904, 1933, 1962, 2031, 2060, 2141, 2170, 2251, 2280, 2303, 2361, 2390, 2413, 2471, 2523, 2581, 2604, 2633, 2691, 2714, 2743, 2824, 2853, 2905, 2934, 2963, 3032, 3061, 3090, 3142, 3171, 3252, 3281, 3304, 3362, 3391, 3414 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Here a number is called balanced if the sum of digits weighted by their arithmetic distance from the "center" is zero. All 1-, 2- or 3-digit balanced numbers are palindromic, therefore all terms are larger than 1000. The least 1-9 pandigital balanced number seems to be 137986542, but there seems to be no 0-9 pandigital balanced number. LINKS Robert Israel, Table of n, a(n) for n = 1..10000 E. Angelini, Balanced numbers, SeqFan list, Mar 14 2015 EXAMPLE a(1)=1030 is balanced because 1*3/2 + 0*1/2 = 3*1/2 + 0*3/2. a(2)=1140 is balanced because 1*3/2 + 1*1/2 = 4*1/2 + 0*3/2. MAPLE filter:= proc(n) local L, m;   L:= convert(n, base, 10);   m:= (1+nops(L))/2; add(L[i]*(i-m), i=1..nops(L))=0  and L <> ListTools:-Reverse(L) end proc: select(filter, [\$1000..10000]); # Robert Israel, May 29 2018 PROG (PARI) is(n, b=10, d=digits(n, b), o=(#d+1)/2)=!(vector(#d, i, i-o)*d~)&&d!=Vecrev(d) CROSSREFS Cf. A256076 (primes in this sequence), A256082 - A256089, A256080. Sequence in context: A250759 A260607 A298910 * A061327 A023062 A035046 Adjacent sequences:  A256072 A256073 A256074 * A256076 A256077 A256078 KEYWORD nonn,base AUTHOR Eric Angelini and M. F. Hasler, Mar 14 2015 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.

Last modified January 20 16:32 EST 2022. Contains 350472 sequences. (Running on oeis4.)