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 A097327 Least positive integer m such that m*n has greater decimal digit length than n. 2
 10, 5, 4, 3, 2, 2, 2, 2, 2, 10, 10, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 10, 10, 10 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS For any positive base B >= 2 the corresponding sequence contains only terms from 2 to B inclusive so the corresponding sequence for binary is all 2s (A007395). LINKS Michael S. Branicky, Table of n, a(n) for n = 1..10000 FORMULA a(n) = A097326(n) + 1. a(n) = ceiling(10^A055642(n)/n). - Michael S. Branicky, Oct 05 2021 EXAMPLE a(12) = 9 since 12 has two decimal digits and 9*12 = 108 has three (but 8*12 = 96 has only two). PROG (Python) def a(n): return (10**len(str(n))-1)//n + 1 print([a(n) for n in range(1, 103)]) # Michael S. Branicky, Oct 05 2021 (PARI) a(n) = my(m=1, sn=#Str(n)); while (#Str(m*n) <= sn, m++); m; \\ Michel Marcus, Oct 05 2021 CROSSREFS Cf. A089186 (analog for decimal m+n), A080079 (analog for binary m+n), A097326. Cf. A055642. Sequence in context: A134167 A080461 A066578 * A226583 A007272 A061280 Adjacent sequences: A097324 A097325 A097326 * A097328 A097329 A097330 KEYWORD base,easy,nonn AUTHOR Rick L. Shepherd, Aug 04 2004 STATUS approved

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Last modified February 5 23:07 EST 2023. Contains 360091 sequences. (Running on oeis4.)