A276337 Number of nonzero digits in greedy A001563-base representation of n (A276326).

0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 4, 4

Offset

0,6

Links

Antti Karttunen, Table of n, a(n) for n = 0..4320

Formula

a(0) = 0; for n >= 1, a(n) = 1 + a(A276335(n)).

For all n >= 0, a(n) <= A276328(n).

Mathematica

f[n_] := Block[{a = {{0, n}}}, Do[AppendTo[a, {First@ #, Last@ #} &@ QuotientRemainder[a[[-1, -1]], (# #!) &[# - i]]], {i, 0, # - 1}] &@ NestWhile[# + 1 &, 0, (# #!) &[# + 1] <= n &]; Rest[a][[All, 1]]]; {0}~Join~Table[Count[f@ n, d_ /; d > 0], {n, 120}] (* Michael De Vlieger, Aug 31 2016 *)

Prog

(Scheme, with memoization-macro definec)
(definec (A276337 n) (if (zero? n) n (+ 1 (A276337 (A276335 n)))))

Crossrefs

Cf. A001536, A276326, A276328, A276335.

Sequence in context: A125829 A294647 A077099 * A160385 A076881 A355813

Adjacent sequences: A276334 A276335 A276336 * A276338 A276339 A276340

Keyword

nonn,base

Author

Antti Karttunen, Aug 30 2016

Status

approved