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A301478
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a(n) is the product of the n-th term of A301382 and its initial digit.
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1
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1, 4, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 25, 36, 40, 42, 44, 46, 48, 49, 50, 52, 54, 56, 58, 64, 81, 90, 93, 96, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131
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OFFSET
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1,2
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COMMENTS
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The sequence is monotonically increasing, as stated in the Definition section of A301382.
Equivalently, these are the numbers of the form k * A000030(k) for some k > 0. - Rémy Sigrist, Mar 22 2018
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LINKS
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EXAMPLE
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P is the product a(n) * [the first digit of a(n)] for every term of A301382:
a(1) = 1 is the product P = 1 * 1,
a(2) = 4 is the product P = 2 * 2,
a(3) = 9 is the product P = 3 * 3,
a(4) = 10 is the product P = 10 * 1,
a(5) = 11 is the product P = 11 * 1,
a(6) = 12 is the product P = 12 * 1,
Etc.
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PROG
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(PARI) p = vector(131, k, oo); for (n=1, #p, x = n*digits(n)[1]; if (x<=#p, p[x] = min(p[x], n))); for (k=1, #p, if (p[k] != oo, print1 (p[k]*digits(p[k])[1] ", "))) \\ Rémy Sigrist, Mar 22 2018
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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