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Search: id:A089898
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| A089898 |
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Product of (digits of n each incremented by 1). |
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+0
1
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 8, 16, 24, 32, 40, 48, 56, 64
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Sum of products of all subsets of digits of n (with the empty subset contributing 1). Number of nonnegative values k such that the dismal sum of k and n is n. First 100 values are 10 X 10 multiplication table, read by rows/columns.
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EXAMPLE
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a(12)=6 since (1+1)*(2+1)=2*3=6 and since (1*2)+(1)+(2)+()=2+1+2+1=6 and since the dismal sum of 12 with any of the six values {0,1,2,10,11,12} is 12.
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CROSSREFS
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Cf. A007954, A087061.
Sequence in context: A053392 A114925 A043270 this_sequence A071785 A079050 A064698
Adjacent sequences: A089895 A089896 A089897 this_sequence A089899 A089900 A089901
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KEYWORD
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base,easy,nonn
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AUTHOR
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Marc LeBrun (mlb(AT)well.com), Nov 13 2003
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