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A034273 a(n) = binomial(2*n+6,n+7)*(n^2+7*n+1)/(n+8) = f(n,n+6) where f is given in A034261. 1
0, 1, 19, 186, 1365, 8540, 48348, 255816, 1289739, 6273135, 29683225, 137447310, 625482585, 2806282440, 12443418600, 54633668400, 237871030860, 1028260382994, 4417404967206, 18874729444340, 80265980340370, 339907420551336, 1434074601137640 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
MATHEMATICA
f[a_, b_] := Binomial[a + b, b + 1] (a b + a + 1)/(b + 2); Array[f[#, # + 6] &, 22] (* Michael De Vlieger, Nov 08 2017 *)
PROG
(PARI) A034273(n)=binomial(2*n+6, n+7)*(n^2+7*n+1)/(n+8) \\ M. F. Hasler, Nov 08 2017
CROSSREFS
Cf. A034261 (main entry), A034263 - A034275 (other columns and diagonals n -> f(n,n+k)).
Sequence in context: A008419 A211866 A327848 * A193575 A161512 A162347
KEYWORD
nonn
AUTHOR
EXTENSIONS
Corrected and extended by N. J. A. Sloane, Apr 21 2000
Edited by M. F. Hasler, Nov 08 2017
STATUS
approved

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Last modified April 14 10:04 EDT 2024. Contains 371657 sequences. (Running on oeis4.)