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Search: id:A145218
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| A145218 |
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a(n) is the self-convolution series of the sum of 5th powers of the first n natural numbers. |
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1
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| 1, 64, 1510, 17600, 130835, 713216, 3098604, 11320320, 36074325, 102925120, 268038706, 646519744, 1460878055, 3120396800, 6346379480, 12363588096, 23184837609, 42023883840
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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A. Umar, B. Yushau and B. M. Ghandi, (2006), "Patterns in convolution of two series", in Stewart, S. M., Olearski, J. E. and Thompson, D. (Eds), Proceedings of the Second Annual Conference for Middle East Teachers of Science, Mathematics and Computing (pp. 95-101). METSMaC: Abu Dhabi.
A. Umar, B. Yushau and B. M. Ghandi, "Convolution of two series" Australian Senior Maths Journal 21(2) (2007), 6-11.
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FORMULA
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a(n)=C(n+2,3)(n^8+8n^7+29n^6+62n^5+86n^4+80n^3+28n^2-24n+192)/462
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EXAMPLE
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a(3) = 1510 because 1(3^5)+(2^5)(2^5)+(3^5)1= 1510
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CROSSREFS
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a(n)=Conv(A000539, A000539)
Sequence in context: A081102 A128987 A017031 this_sequence A014794 A162994 A017115
Adjacent sequences: A145215 A145216 A145217 this_sequence A145219 A145220 A145221
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KEYWORD
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nonn
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AUTHOR
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A. Umar (aumarh(AT)squ.edu.om), Oct 05 2008
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