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A145127 1 + (144 + (50 + (35 + (10 + n)*n)*n)*n)*n/120. 6
1, 3, 9, 25, 61, 132, 259, 470, 801, 1297, 2013, 3015, 4381, 6202, 8583, 11644, 15521, 20367, 26353, 33669, 42525, 53152, 65803, 80754, 98305, 118781, 142533, 169939, 201405, 237366, 278287, 324664, 377025, 435931, 501977, 575793, 658045, 749436 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

(1 + 3x+ 9x^2 + ...) = (1 + 3x +6x^2 + 10x^3 + ...) * (1 + 3x^2 + 6x^3 + 10x^4 + ...). [From Gary W. Adamson, Jul 27 2010]

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

FORMULA

G.f.: (x^4-4*x^3+6*x^2-3*x+1) / (1-x)^6.

MAPLE

a := n-> 1+ (144+ (50+ (35+ (10+ n) *n) *n) *n) *n/120: seq (a(n), n=0..40);

PROG

(MAGMA) [1 + (144 + (50 + (35 + (10 + n)*n)*n)*n)*n/120: n in [0..40]]; // Vincenzo Librandi, May 19 2011

CROSSREFS

6th row of A145153. See row 6 of A145140/A145141 for rational coefficients and A145142 for 120 * coefficients of polynomial.

Sequence in context: A101357 A004255 A065971 * A096260 A195417 A002064

Adjacent sequences:  A145124 A145125 A145126 * A145128 A145129 A145130

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 03 2008

STATUS

approved

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Last modified December 7 13:07 EST 2016. Contains 278875 sequences.