

A101861


n*(n+5)*(50+45*n+n^2)/24.


2



24, 84, 194, 369, 625, 979, 1449, 2054, 2814, 3750, 4884, 6239, 7839, 9709, 11875, 14364, 17204, 20424, 24054, 28125, 32669, 37719, 43309, 49474, 56250, 63674, 71784, 80619, 90219, 100625, 111879, 124024, 137104, 151164, 166250, 182409
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OFFSET

1,1


COMMENTS

Essentially the partial sums of A101860.
5th partial summation within series as series accumulate n times from an initial sequence of Euler Triangle's row 4: 1,11,11,1: 5th row of the array in the examples of A101860.


LINKS

Table of n, a(n) for n=1..36.
C. Rossiter, Depictions, Explorations and Formulas of the Euler/Pascal Cube.
Index entries for linear recurrences with constant coefficients, signature (5,10,10,5,1).


FORMULA

G.f. x*(x2)*(x^212*x+12) / (x1)^5 .  R. J. Mathar, Dec 06 2011


CROSSREFS

Sequence in context: A265646 A045946 A192838 * A168538 A007201 A228874
Adjacent sequences: A101858 A101859 A101860 * A101862 A101863 A101864


KEYWORD

easy,nonn


AUTHOR

Cecilia Rossiter (cecilia(AT)noticingnumbers.net), Dec 18 2004


STATUS

approved



