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Search: id:A107583
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| 1, 0, 3, 18, 69, 228, 711, 2166, 6537, 19656, 59019, 177114, 531405, 1594284, 4782927, 14348862, 43046673, 129140112, 387420435, 1162261410, 3486784341
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OFFSET
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0,3
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COMMENT
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Digit sum = digit product = 3^n.
Numbers a(n)=k such that number m with k 3's and n 1's has digit product=digit sum.
One of the infinite series of numbers with digit product = digit sum. Cf. A107584, A107585.
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EXAMPLE
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n=0, k=1,m=1,ds=dp=1; n=1,k=0,m=3,ds=dp=3; n=2,k=3,m=11133,ds=dp=9.
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MATHEMATICA
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Table[3^m-3*m, {m, 0, 20}]
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CROSSREFS
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Cf. A107584, A107585.
Sequence in context: A027333 A026576 A048899 this_sequence A157535 A098522 A114633
Adjacent sequences: A107580 A107581 A107582 this_sequence A107584 A107585 A107586
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), May 16 2005
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