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Search: id:A154105
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A154105 a(n) = 12*n^2+18*n+7. +0
2
7, 37, 91, 169, 271, 397, 547, 721, 919, 1141, 1387, 1657, 1951, 2269, 2611, 2977, 3367, 3781, 4219, 4681, 5167, 5677, 6211, 6769, 7351, 7957, 8587, 9241, 9919, 10621, 11347, 12097, 12871, 13669, 14491, 15337, 16207, 17101, 18019, 18961, 19927 (list; graph; listen)
OFFSET

0,1

COMMENT

a(n) = 6*A014106(n)+7.

FORMULA

G.f.: (7+16*x+x^2)/(1-x)^3.

a(0) = 7; for n > 0, a(n) = a(n-1)+24*n+6.

EXAMPLE

a(2) = 12*2^2+18*2+7 = 91 = 6*14+7 = 6*A014106(2)+7.

a(3) = a(2)+24*3+6 = 91+72+6 = 169.

PROGRAM

(MAGMA) [ 12*n^2+18*n+7: n in [0..40] ];

CROSSREFS

Cf. A014106 (n*(2*n+3)), A153286.

Sequence in context: A031395 A138906 A107938 this_sequence A159491 A106064 A038862

Adjacent sequences: A154102 A154103 A154104 this_sequence A154106 A154107 A154108

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jan 04 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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