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A107583
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a(n) = 3^n - 3*n.
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9
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| 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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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
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EXAMPLE
| 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
| Table[3^m-3*m, {m, 0, 20}]
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PROG
| (MAGMA) [3^n-3*n: n in [0..30]]; // Vincenzo Librandi, Oct 22 2011
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CROSSREFS
| Cf. A107584, A107585.
Sequence in context: A027333 A026576 A048899 * A157535 A098522 A174764
Adjacent sequences: A107580 A107581 A107582 * A107584 A107585 A107586
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KEYWORD
| nonn,easy
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com), May 16 2005
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