|
Search: id:A007585
|
|
|
| A007585 |
|
10-gonal (or decagonal) pyramidal numbers: n(n+1)(8n-5)/6.
(Formerly M4791)
|
|
+0
7
|
|
| 0, 1, 11, 38, 90, 175, 301, 476, 708, 1005, 1375, 1826, 2366, 3003, 3745, 4600, 5576, 6681, 7923, 9310, 10850, 12551, 14421, 16468, 18700, 21125, 23751, 26586, 29638, 32915, 36425, 40176, 44176, 48433, 52955, 57750
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Binomial transform of [1, 10, 17, 8, 0, 0, 0,...] = (1, 11, 38, 90,...). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 18 2009]
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, p. 194.
|
|
FORMULA
|
a(n)= (8*n-5)*binomial(n+1, 2)/3. G.f.: x*(1+7*x)/(1-x)^4.
|
|
CROSSREFS
|
Cf. A001107.
Cf. A093565 ((8, 1) Pascal, column m=3). Partial sums of A001107.
Sequence in context: A139276 A010002 A143109 this_sequence A024202 A133258 A103738
Adjacent sequences: A007582 A007583 A007584 this_sequence A007586 A007587 A007588
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy.
|
|
|
Search completed in 0.002 seconds
|
