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A103731
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Column k=4 sequence of array A103728.
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0
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1, 13, 191, 457, 1713, 2899, 6997, 19769, 26521, 57313, 89161, 109327, 159713, 265617, 417079, 479641, 709963, 903981, 1014697, 1408369, 1727987, 2305689, 3287713, 3882401, 4208317, 4921263, 5309929, 6155857, 9930313, 11272171
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The two a(n) formulae, given below, produce natural numbers for all n>=0.
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FORMULA
| a(n)=A103728(n+3, 4)=(1 +(p(n+3)-1)*binomial(p(n+3)-1, 4))/p(n+3), with p(n):=A000040(n) (n-th prime).
a(n)= (74 - 85*p(n+3) + 45*p(n+3)^2 - 11*p(n+3)^3 + p(n+3)^4)/4! = sum(A103718(k, m)*p(n+3)^m, m=0..4)/4!.
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CROSSREFS
| Sequence in context: A094736 A055613 A123808 * A000563 A159196 A177508
Adjacent sequences: A103728 A103729 A103730 * A103732 A103733 A103734
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Feb 24 2005
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