A324318 Number of terms in A324315 (squarefree integers m > 1 such that if prime p divides m, then the sum of the base p digits of m is at least p) less than 10^n.

0, 0, 2, 57, 636, 7048, 75150, 801931, 8350039, 86361487

Offset

1,3

Comments

The number of squarefree integers less than 10^n is 0, 6, 61, 608, 6083, 60794, 607926, 6079291, 60792694, 607927124, ... (see A053462).

Links

Table of n, a(n) for n=1..10.

Bernd C. Kellner and Jonathan Sondow, Power-Sum Denominators, Amer. Math. Monthly, 124 (2017), 695-709; arXiv:1705.03857 [math.NT], 2017.

Bernd C. Kellner and Jonathan Sondow, On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-p digits, #A52 Integers 21 (2021), 21 pp.; arXiv:1902.10672 [math.NT], 2019.

Example

There are two terms of A324315 less than 10^3, namely, 231 and 561, so a(3) = 2.

Crossrefs

Cf. A053462, A324315, A324316, A324317, A324319, A324320, A324369, A324370, A324371, A324404, A324405.

Sequence in context: A245783 A189057 A229015 * A058196 A024237 A030263

Adjacent sequences: A324315 A324316 A324317 * A324319 A324320 A324321

Keyword

nonn,base,more

Author

Bernd C. Kellner and Jonathan Sondow, Feb 23 2019

Status

approved