A101861 n*(n+5)*(50+45*n+n^2)/24.

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

Offset: 1

Author

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

Keywords

• easy
• nonn

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

• 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*(x-2)*(x^2-12*x+12) / (x-1)^5 . - R. J. Mathar, Dec 06 2011