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Search: id:A083164
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| A083164 |
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Rearrangement of natural numbers such that n divides sum of the terms with index which are the divisors of n. |
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+0
3
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| 1, 3, 2, 4, 9, 6, 13, 8, 15, 7, 10, 20, 12, 11, 18, 16, 33, 27, 37, 36, 5, 30, 22, 28, 40, 62, 63, 24, 57, 14, 61, 32, 53, 31, 47, 66, 73, 35, 102, 52, 81, 43, 42, 84, 45, 112, 46, 56, 133, 90, 117, 74, 105, 99, 145, 48, 17, 55, 58, 60, 121, 59, 153, 64, 108, 93, 200, 132
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n) = (smallest multiple larger than the sum of the terms with index which are the divisors (<n) of n) - (The sum of the terms with index which are the divisors( <n ) of n) if the resulting number is not alredy included, else go for the next larger multiple.
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EXAMPLE
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9 divides a(1) + a(3) + a(9) = 1 + 2 + 15 = 18.
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PROGRAM
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(PARI) A = vector(105); used = vector(400); for (n = 1, 105, d = divisors(n); c = numdiv(n); s = 0; for (i = 1, c - 1, s += A[d[i]]); x = n - s%n; while (used[x], x += n); A[n] = x; used[x] = 1; write("A083165.txt", (x + s)/n)); write("A083164.txt", A)
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CROSSREFS
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Cf. A083165, A083166.
Sequence in context: A019916 A099257 A083762 this_sequence A094962 A084793 A033820
Adjacent sequences: A083161 A083162 A083163 this_sequence A083165 A083166 A083167
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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), Apr 25 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Oct 22 2004
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