A206243 In base n, you must write the first A206242(n) positive multiples of a(n) in order to write every base-n digit.

1, 1, 2, 1, 9, 1, 2, 3, 125, 1, 16, 1, 343, 25, 2, 1, 6561, 1, 25, 49, 14641, 1, 32, 5, 28561, 3, 49, 1, 1000, 1, 2, 1331, 1419857, 49, 1458, 1, 2476099, 2197, 50, 1, 49, 1, 2662, 75, 6436343, 1, 64, 7, 3125, 4913, 4394, 1, 177147, 121, 64, 6859, 20511149, 1

Offset

2,3

Links

David W. Wilson, Table of n, a(n) for n = 2..10000

Formula

a(n) = n^k/A079277(n), where k is the least value making the right side an integer (Tomas Rokicki). [Corrected by Pontus von Brömssen, Sep 13 2025]

Prog

(PARI) a77(n) = forstep(k = n - 1, 2, -1, f = factor(k); okk = 1; for (i=1, #f~, if ((n % f[i, 1]) != 0, okk = 0; break; )); if (okk, return (k)); ); return (1); \\ A079277
a(n) = my(k=0, f=a77(n)); while(n^k % f, k++); n^k/f; \\ Michel Marcus, Sep 13 2025

Crossrefs

Cf. A079277, A206242.

Sequence in context: A388364 A395734 A078088 * A371930 A316711 A187549

Adjacent sequences: A206240 A206241 A206242 * A206244 A206245 A206246

Keyword

nonn,base

Author

David W. Wilson, Feb 05 2012

Status

approved