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A187673 Partial sums of the tricapped prism numbers A005920. 0
1, 10, 43, 125, 290, 581, 1050, 1758, 2775, 4180, 6061, 8515, 11648, 15575, 20420, 26316, 33405, 41838, 51775, 63385, 76846, 92345, 110078, 130250, 153075, 178776, 207585, 239743, 275500, 315115, 358856 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1).

FORMULA

a(n) = Sum_{i=0..n} A005920(i).

a(n) = (n+2)*(n+1)*(9*n^2 + 19*n + 12)/24.

a(n) = A002419(n+1) + A050534(n+1).

G.f.: ( -1-5*x-3*x^2 ) / (x-1)^5. - R. J. Mathar, Mar 29 2011

MATHEMATICA

Accumulate[LinearRecurrence[{4, -6, 4, -1}, {1, 9, 33, 82}, 40]] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {1, 10, 43, 125, 290}, 40] (* Harvey P. Dale, Feb 15 2015 *)

CROSSREFS

Cf. A005920.

Sequence in context: A336288 A211070 A251936 * A297655 A198695 A227728

Adjacent sequences:  A187670 A187671 A187672 * A187674 A187675 A187676

KEYWORD

nonn,easy

AUTHOR

Jonathan Vos Post, Mar 12 2011

EXTENSIONS

Typo in formula fixed by Colin Barker, Apr 19 2013

STATUS

approved

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Last modified May 26 08:00 EDT 2022. Contains 354077 sequences. (Running on oeis4.)