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Search: id:A062071
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| A062071 |
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a(n) = [n/1] +[n/(2^2)] + [n/(3^3)] + [n/(4^4)]+...+[n/(k^k)+..., up to infinity, where [ ] is the floor function. |
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+0
1
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| 1, 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 30, 31, 32, 34, 36, 37, 38, 39, 41, 42, 43, 44, 46, 47, 48, 49, 51, 52, 53, 54, 56, 57, 58, 59, 61, 62, 63, 64, 66, 67, 69, 70, 72, 73, 74, 75, 77, 78, 79, 80, 82, 83, 84, 85, 87, 88, 89, 90
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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EXAMPLE
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a(7) = [7/1] + [7/4] + [7/27] + ...= 7+1+0+0... =8. a(8) = [ 8/1] + [8/4] + [8/27] + [8/256]+ ...= 8 + 2 + 0 + 0 + ... = 10.
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PROGRAM
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(PARI) \p 10 v=[]; for(n=1, 120, v=concat(v, suminf(k=1, floor(n/k^k)))); v
(PARI) { for (n=1, 1000, write("b062071.txt", n, " ", suminf(k=1, n\k^k)\1) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 31 2009]
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CROSSREFS
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Cf. A011371.
Sequence in context: A001068 A039145 A038129 this_sequence A087069 A023737 A037459
Adjacent sequences: A062068 A062069 A062070 this_sequence A062072 A062073 A062074
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 13 2001
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EXTENSIONS
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More terms from Jason Earls (zevi_35711(AT)yahoo.com), Jun 21 2001
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