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A101855
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n*(n+1)*(n+2)*(n+4)*(n+23)/120.
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1
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6, 30, 91, 216, 441, 812, 1386, 2232, 3432, 5082, 7293, 10192, 13923, 18648, 24548, 31824, 40698, 51414, 64239, 79464, 97405, 118404, 142830, 171080, 203580, 240786, 283185, 331296, 385671, 446896, 515592, 592416, 678062, 773262, 878787, 995448
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 6th partial summation within series as series accumulate n times from an initial sequence of Euler Triangle's row 3: 1,4,1. 6th row of the array shown in A101853. Partial sums of A101854.
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LINKS
| C. Rossiter, Depictions, Explorations and Formulas of the Euler/Pascal Cube.
Index to sequences with linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
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FORMULA
| G.f. x*(6-6*x+x^2) / (x-1)^6 . - R. J. Mathar, Dec 06 2011
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CROSSREFS
| Sequence in context: A033487 A061138 A073948 * A101375 A074007 A152573
Adjacent sequences: A101852 A101853 A101854 * A101856 A101857 A101858
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KEYWORD
| easy,nonn
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AUTHOR
| Cecilia Rossiter (cecilia(AT)noticingnumbers.net), Dec 18 2004
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