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Search: id:A138953
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| A138953 |
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Sum of numbers from all substrings of n. |
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+0
2
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 8, 9, 10, 11, 12, 13, 14, 15
(list; graph; listen)
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OFFSET
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0,12
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LINKS
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Zak Seidov, Table of n, a(n) for n = 0..1000.
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FORMULA
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a(n)=A071980(n)-n. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 06 2009]
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EXAMPLE
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One-digit numbers have no substring, hence a(0..9)=0;
a(10)=1+0=1,
a(123)=1+2+3+12+23=41,
a(150)=1+5+0+15+50=71.
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MATHEMATICA
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Table[id=IntegerDigits[ n]; Total[Flatten[Table[FromDigits/@ Partition[id, k, 1], {k, Length[id]-1}]]], {n, 0, 150}]
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CROSSREFS
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Cf. A093882.
Sequence in context: A103693 A117230 A093882 this_sequence A053392 A114925 A043270
Adjacent sequences: A138950 A138951 A138952 this_sequence A138954 A138955 A138956
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KEYWORD
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nonn,base
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Apr 04 2008
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