A327577 Numbers of zeroless polydivisible numbers with all digits the same in base n.

1, 4, 5, 10, 7, 26, 11, 20, 19, 32, 17, 52, 22, 36, 38, 44, 28, 78, 32, 64, 49, 60, 38, 104, 47, 70, 61, 78, 49, 196, 53, 88, 75, 94, 66, 162, 64, 104, 88, 134, 70, 216, 74, 120, 123, 128, 80, 214, 85, 168, 117, 144, 91, 240, 103, 162, 131, 160, 101, 392, 108, 172, 152, 178, 122, 296

Offset

2,2

Links

Seiichi Manyama, Table of n, a(n) for n = 2..10000

Wikipedia, Polydivisible number.

Formula

a(n) = A327545(n,1).

a(n) = Sum_{k=1..n-1} A327571(n,k).

Example

n | zeroless polydivisible numbers with all digits the same in base n
--+------------------------------------------------------------------
2 | [1]
3 | [1, 11], [2, 22]
4 | [1], [2, 22, 222], [3]
So a(2) = 1, a(3) = 4, a(4) = 5.

Crossrefs

Cf. A327545, A327571.

Sequence in context: A226486 A060648 A263828 * A092961 A327614 A177711

Adjacent sequences: A327574 A327575 A327576 * A327578 A327579 A327580

Keyword

nonn,base,look

Author

Seiichi Manyama, Sep 17 2019

Status

approved