A285093 Corresponding values of arithmetic means of digits of numbers from A061383.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 1, 2, 3, 1, 2, 3, 1, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 6, 4, 5, 6

Offset

0,3

Links

Jaroslav Krizek, Table of n, a(n) for n = 0..3000

Formula

a(n) = A007953(A061383(n)) / A055642(A061383(n)) for n >= 1.

Prog

(Magma) [&+Intseq(n) / #Intseq(n): n in [1..100000] | &+Intseq(n) mod #Intseq(n) eq 0]
(PARI) lista(nn) = {for (n=0, nn, if (n, d = digits(n), d = [0]); if (!( vecsum(d) % #d), print1(vecsum(d)/#d, ", ")); ); } \\ Michel Marcus, Apr 15 2017

Crossrefs

Cf. A061383 (numbers with integer arithmetic mean of digits in base 10).

Sequences of numbers n such that a(n) = k for k = 1 - 9: A061384 (k = 1), A061385 (k = 2), A061386 (k = 3), A061387 (k = 4), A061388 (k = 5), A061423 (k = 6), A061424 (k = 7), A061425 (k = 8), A002283 (k = 9).

Cf. A004426, A004427, A257295 (supersequences).

Sequence in context: A071650 A037265 A292685 * A053837 A128244 A010888

Adjacent sequences: A285090 A285091 A285092 * A285094 A285095 A285096

Keyword

nonn,base

Author

Jaroslav Krizek, Apr 14 2017

Status

approved