A245399 Number of nonnegative integers with property that their base 6/5 expansion (see A024638) has n digits.

6, 6, 6, 6, 6, 6, 12, 12, 12, 18, 18, 24, 30, 36, 42, 48, 60, 72, 84, 102, 126, 150, 180, 216, 258, 312, 372, 444, 534, 642, 768, 924, 1110, 1332, 1596, 1914, 2298, 2760, 3312, 3972, 4770, 5724, 6864, 8238, 9888, 11862, 14238, 17082, 20502, 24600, 29520, 35424

Offset

1,1

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Index entries for sequences related to fractional bases

Formula

a(n) = 6*A120170(n).

Example

a(3) = 6 because 540, 541, 542, 543, 544 and 545 are the base 6/5 expansions for the integers 12, 13, 14, 15, 16 and 17 respectively and these are the only integers with 3 digits.

Mathematica

A120170[n_]:= A120170[n] = If[n==1, 1, Ceiling[Sum[A120170[j], {j, n-1}]/5]]; Table[6*A120170[n], {n, 60}] (* G. C. Greubel, Aug 19 2019 *)

Prog

(Sage)
A=[1]
for i in [1..60]:
    A.append(ceil(((6-5)/5)*sum(A)))
[6*x for x in A]

Crossrefs

Cf. A024638, A081848, A120170, A245356.

Sequence in context: A331944 A103337 A241155 * A243758 A318355 A318237

Adjacent sequences: A245396 A245397 A245398 * A245400 A245401 A245402

Keyword

nonn,base

Author

Hailey R. Olafson, Jul 21 2014

Status

approved