|
| |
|
|
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
|
| |
|
|
