

A192136


a(n) = (5*n^23*n+2)/2


3



1, 2, 8, 19, 35, 56, 82, 113, 149, 190, 236, 287, 343, 404, 470, 541, 617, 698, 784, 875, 971, 1072, 1178, 1289, 1405, 1526, 1652, 1783, 1919, 2060, 2206, 2357, 2513, 2674, 2840, 3011, 3187, 3368, 3554, 3745, 3941, 4142, 4348, 4559, 4775, 4996, 5222, 5453
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OFFSET

0,2


COMMENTS

Binomial transform of [1,1,5,0,0,0,0,0,....] [Johannes W. Meijer, Jul 07 2011]


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000


FORMULA

a(n) = (5*n^23*n+2)/2
a(n) = 2*a(n1)a(n2)+5
a(n) = a(n1)+5*n4
a(n) = 5*C(n+2, 2)9*n4
a(n) = A000217(n+1)A000217(n)+5*A000217(n1); triangular numbers [Johannes W. Meijer, Jul 07 2011]
O.g.f.: (1x+5*x^2)/((1x)^3)


PROG

(MAGMA) A192136:=func< n  (5*n^23*n+2)/2 >; [ A192136(n): n in [0..50] ]; // Klaus Brockhaus, Jun 27 2011


CROSSREFS

Cf. A000124, A002522, A143689, A130883
Cf. A000217, A006137, A140063, A140064 [Johannes W. Meijer, Jul 07 2011]
Sequence in context: A236327 A109071 A196134 * A031327 A193389 A030504
Adjacent sequences: A192133 A192134 A192135 * A192137 A192138 A192139


KEYWORD

nonn


AUTHOR

Eric Werley, Jun 24 2011


STATUS

approved



