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A023551
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Self-convolution of natural numbers >= 3.
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2
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9, 24, 46, 76, 115, 164, 224, 296, 381, 480, 594, 724, 871, 1036, 1220, 1424, 1649, 1896, 2166, 2460, 2779, 3124, 3496, 3896, 4325, 4784, 5274, 5796, 6351, 6940, 7564, 8224, 8921, 9656, 10430, 11244, 12099, 12996, 13936, 14920, 15949
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
| a(n) = n(n^2 + 15n + 38)/6. - Robert Lester (RobertLester(AT)Earthlink.net), Jan 31 2005
G.f.: x*(3-2*x)^2/(1-x)^4. - Bruno Berselli, Oct 21 2011
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PROG
| (PARI) a(n) = n*(n^2+15*n+38)/6 \\ Charles R Greathouse IV, Oct 21 2011
(MAGMA) [n*(n^2+15*n+38)/6: n in [1..50]]; // Vincenzo Librandi, Oct 22 2011
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CROSSREFS
| Sequence in context: A097658 A067725 A001106 * A022787 A079770 A079771
Adjacent sequences: A023548 A023549 A023550 * A023552 A023553 A023554
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KEYWORD
| nonn,easy
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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