proposed

approved

editing

proposed

Here a number is called balanced if the sum of digits weighted by their arithmetic distance from the "center" is zero. Since palindromes (A029952) are trivially balanced, they are excluded here.

Cf. A256082 - A256086, A256077 - A256079, A256075, A256076, A256080, A256081.

(PARI) is(n, b=5, d=digits(n, b), o=(#d+1)/2)=!(vector(#d, i, i-o)*d~)&~)&&d!=Vecrev(d)

Cf. A256082 - A256089, A256075, A256080, A029952.

allocated for M. F. Hasler

Non-palindromic balanced numbers in base 5.

140, 170, 202, 232, 266, 296, 328, 358, 392, 422, 454, 484, 518, 548, 635, 660, 685, 710, 735, 765, 790, 815, 840, 865, 877, 895, 902, 920, 927, 945, 952, 970, 977, 995, 1007, 1032, 1057, 1082, 1107, 1128, 1137, 1153, 1162, 1178, 1187, 1203, 1212, 1228, 1237, 1261, 1270, 1286, 1295, 1311, 1320, 1336, 1345, 1361, 1370

1,1

Here a number is called balanced if the sum of digits weighted by their arithmetic distance from the "center" is zero.

This is the base-5 variant of the decimal version A256075 invented by Eric Angelini. See there, and the base-2 version A256082, for further information and examples.

Cf. A256082 - A256086, A256077 - A256079, A256075, A256076, A256080, A256081.

(PARI) is(n, b=5, d=digits(n, b), o=(#d+1)/2)=!(vector(#d, i, i-o)*d~)&d!=Vecrev(d)

allocated

nonn,base,changed

M. F. Hasler, Mar 14 2015

approved

editing

allocated for M. F. Hasler

allocated

approved