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A192136
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a(n) = (5*n^2-3*n+2)/2
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3
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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
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0,2
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COMMENTS
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Binomial transform of [1,1,5,0,0,0,0,0,....] [Johannes W. Meijer, Jul 07 2011]
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..10000
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FORMULA
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a(n) = (5*n^2-3*n+2)/2
a(n) = 2*a(n-1)-a(n-2)+5
a(n) = a(n-1)+5*n-4
a(n) = 5*C(n+2, 2)-9*n-4
a(n) = A000217(n+1)-A000217(n)+5*A000217(n-1); triangular numbers [Johannes W. Meijer, Jul 07 2011]
O.g.f.: (1-x+5*x^2)/((1-x)^3)
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PROG
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(MAGMA) A192136:=func< n | (5*n^2-3*n+2)/2 >; [ A192136(n): n in [0..50] ]; // Klaus Brockhaus, Jun 27 2011
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CROSSREFS
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Cf. A000124, A002522, A143689, A130883
Cf. A000217, A006137, A140063, A140064 [Johannes W. Meijer, Jul 07 2011]
Sequence in context: A049525 A109071 A196134 * A031327 A193389 A030504
Adjacent sequences: A192133 A192134 A192135 * A192137 A192138 A192139
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KEYWORD
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nonn
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AUTHOR
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Eric Werley, Jun 24 2011
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STATUS
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approved
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