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A022275 a(n) = n*(17*n + 1)/2. 3
0, 9, 35, 78, 138, 215, 309, 420, 548, 693, 855, 1034, 1230, 1443, 1673, 1920, 2184, 2465, 2763, 3078, 3410, 3759, 4125, 4508, 4908, 5325, 5759, 6210, 6678, 7163, 7665, 8184, 8720, 9273, 9843, 10430, 11034, 11655, 12293, 12948, 13620, 14309, 15015 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = 17*n + a(n-1) - 8 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010
a(0)=0, a(1)=9, a(2)=35; for n>2, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, May 06 2013
G.f.: x*(9+8*x)/(1-x)^3. - Vincenzo Librandi, Mar 31 2015
a(n) = A022274(-n). - Bruno Berselli, Mar 31 2015
a(n) = A000217(9*n) - A000217(8*n). - Bruno Berselli, Oct 13 2016
E.g.f.: (x/2)*(17*x + 18)*exp(x). - G. C. Greubel, Aug 23 2017
MATHEMATICA
Table[n (17 n + 1)/2, {n, 0, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 9, 35}, 40] (* Harvey P. Dale, May 06 2013 *)
CoefficientList[Series[x (9 + 8 x) / (1 - x)^3, {x, 0, 40}], x] (* Vincenzo Librandi, Mar 31 2015 *)
PROG
(Magma) [n*(17*n + 1)/2: n in [0..45]]; // Vincenzo Librandi, Mar 31 2015
(PARI) a(n)=n*(17*n+1)/2 \\ Charles R Greathouse IV, Jun 17 2017
CROSSREFS
Cf. A022274.
Cf. similar sequences listed in A022289.
Sequence in context: A173245 A033566 A226755 * A071398 A212099 A212100
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Mar 31 2015
STATUS
approved

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Last modified July 20 08:35 EDT 2024. Contains 374442 sequences. (Running on oeis4.)