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Search: id:A055036
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| A055036 |
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Min[x] composite zero site for Sigma[x+6^n]-Sigma[x]-6^n. |
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+0
1
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| 104, 125, 195, 415, 2743, 2935, 3535, 19735, 22645, 108703, 977353, 1921033, 2523433, 2425175, 4227575, 85969345, 32606935, 224917033, 1362833713, 716210677, 1557843865, 6226853857, 20369543065
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n)=Min[x] solution for A000203[x+A000400(n)]=A000203(x)+A000400(n) Diophantine equation.
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EXAMPLE
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n = 6: d = 6^6 = 46656, a(n) = a(6) = 2935 because Sigma[2935]+46656] = 1+5+587+2935+46656 = Sigma[2935+46656] = Sigma[49591] = 1+101+491+49591 = 50184
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MATHEMATICA
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L = {}; Do[i = 1; While[ ! ((Plus @@ Divisors[i + 6^j] == 6^j + Plus @@ Divisors[i]) && ! PrimeQ[i]), i++ ]; L = Append[L, i], {j, 1, 11}]; L (from Vit Planocka)
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CROSSREFS
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Subsequence of A054904.
Cf. A054902-A054905, A054799, A054982-A054985, A054987, A055009, A015913-A015518.
Adjacent sequences: A055033 A055034 A055035 this_sequence A055037 A055038 A055039
Sequence in context: A045208 A126817 A095641 this_sequence A052476 A054903 A074228
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KEYWORD
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more,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jun 01 2000
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EXTENSIONS
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One more term from Vit Planocka (planocka(AT)mistral.cz), Sep 23 2003
a(12)-a(23) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 30 2008
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