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A188480 a(n) = (n^4 + 16*n^3 + 65*n^2 + 26*n + 12)/12. 2
1, 10, 39, 99, 203, 366, 605, 939, 1389, 1978, 2731, 3675, 4839, 6254, 7953, 9971, 12345, 15114, 18319, 22003, 26211, 30990, 36389, 42459, 49253, 56826, 65235, 74539, 84799, 96078, 108441, 121955, 136689, 152714, 170103, 188931 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Third column of number triangle A188461.
LINKS
FORMULA
G.f.: (1 + 5*x - x^2 - 6*x^3 + 3*x^4)/(1-x)^5.
E.g.f.: exp(x)*(12 + 108*x + 120*x^2 + 22*x^3 + x^4)/12. - Stefano Spezia, Sep 06 2023
MATHEMATICA
Table[(n^4+16n^3+65n^2+26n+12)/12, {n, 0, 40}] (* or *) LinearRecurrence[ {5, -10, 10, -5, 1}, {1, 10, 39, 99, 203}, 40] (* Harvey P. Dale, Jan 23 2016 *)
PROG
(Magma) [(n^4+16*n^3+65*n^2+26*n+12)/12: n in [0..90]]; // Vincenzo Librandi, Apr 05 2011
(PARI) a(n)=1+(n^4+16*n^3+65*n^2+26*n)/12 \\ Charles R Greathouse IV, May 04 2011
CROSSREFS
Cf. A188461.
Sequence in context: A360669 A022277 A348617 * A059722 A267748 A229325
KEYWORD
nonn,easy
AUTHOR
Paul Barry, Apr 01 2011
STATUS
approved

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Last modified March 18 21:02 EDT 2024. Contains 370951 sequences. (Running on oeis4.)