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A372055
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For a positive number k, let L(k) denote the list consisting of k followed by the prime factors of k, with repetition, in nondecreasing order; sequence gives k such that the digits of L(k) are in nondecreasing order.
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6
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1, 2, 3, 5, 7, 11, 12, 25, 35, 111, 112, 125, 222, 245, 333, 335, 445, 1225, 2225, 11125, 33445, 334445, 3333335, 3334445, 3444445, 33333445, 333333335, 334444445, 3333333335, 33333334445, 333333333335, 33333333334445, 33333333444445, 444444444444445, 2222222222222225
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OFFSET
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1,2
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COMMENTS
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LINKS
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EXAMPLE
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L(1) = [1], L[2] = [2,2], L[11] = [11,11], L[12] = [12,2,2,3}.
The prime k = 1111111111111111111 = A004022(2) will eventually be a term, since L(1111111111111111111) = [1111111111111111111,1111111111111111111], which certainly has digits in nondecreasing order.
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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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EXTENSIONS
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STATUS
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approved
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