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Search: id:A154771
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| A154771 |
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Sum of all numbers that appear as substring of n, written in decimal system. |
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+0
3
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 17, 19, 21, 23, 25, 27, 29, 22, 24, 24, 28, 30, 32, 34, 36, 38, 40, 33, 35, 37, 36, 41, 43, 45, 47, 49, 51, 44, 46, 48, 50, 48, 54, 56, 58, 60, 62, 55, 57, 59, 61, 63, 60, 67, 69, 71, 73, 66, 68, 70, 72, 74, 76, 72, 80, 82, 84, 77, 79, 81
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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A154771(n) = n+A154781(n).
a(10^n) = A002275(n+1).
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EXAMPLE
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Since n=0,...,9 has a single digit, only n itself appears as substring in k, thus a(n)=n.
10 has { 0, 1, 10 } as substrings, thus a(10) = 0+1+10 = 11.
11 has { 1, 11 } as substrings, thus a(11) = 1+11 = 12.
12 has { 1, 2, 12 } as substrings, thus a(12) = 1+2+12 = 15.
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PROGRAM
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(PARI) A154771(n) = { local(d=#Str(n)); n=vecsort(concat(vector(d, i, vector(d, j, n%10^j)+(d--&!n\=10))), NULL, 8); n*vector(#n, i, 1)~ }
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CROSSREFS
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Cf. A154770, A154781.
Sequence in context: A124097 A062461 A128870 this_sequence A071249 A084433 A084434
Adjacent sequences: A154768 A154769 A154770 this_sequence A154772 A154773 A154774
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KEYWORD
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base,easy,nonn
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AUTHOR
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M. F. Hasler (Maximilian.Hasler(AT)gmail.com), Jan 16 2009
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