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A060163
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(n^3 + 5n + 18)/6.
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2
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0, 2, 3, 4, 6, 10, 17, 28, 44, 66, 95, 132, 178, 234, 301, 380, 472, 578, 699, 836, 990, 1162, 1353, 1564, 1796, 2050, 2327, 2628, 2954, 3306, 3685, 4092, 4528, 4994, 5491, 6020, 6582, 7178, 7809, 8476, 9180, 9922, 10703, 11524, 12386, 13290, 14237
(list; graph; refs; listen; history; internal format)
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OFFSET
| -2,2
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COMMENTS
| a(n) = (m^2 -6*m + 17)*m/6 for m = n+2. [Frank Ellermann (hmdmhdfmhdjmzdtjmzdtzktdkztdjz(AT)gmail.com)]
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LINKS
| Harry J. Smith, Table of n, a(n) for n = 2..1000
Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
| a(n) = a(n-1)+A000124(n-1) = A060162 (n+3, n) = A004006(n)+3 = A000125(n)+2 ?= A011826 (n+1)+1.
n+2+binomial(n,3), n=>-1. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 23 2006
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MAPLE
| [seq(n+2+binomial(n, 3), n=-1..46)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 23 2006
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MATHEMATICA
| a=2; s=3; lst={-3, -1, 0, 1, s}; Do[a+=n; s+=a; AppendTo[lst, s], {n, 2, 6!, 1}]; lst+3 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), May 24 2009]
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PROG
| (PARI) { for (n=-2, 1000, write("b060163.txt", n, " ", (n^3 + 5*n + 18)/6); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 02 2009]
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CROSSREFS
| Sequence in context: A017986 A103599 A026502 * A106511 A024490 A056469
Adjacent sequences: A060160 A060161 A060162 * A060164 A060165 A060166
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KEYWORD
| easy,nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Mar 13 2001
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