|
Search: id:A059826
|
|
| |
|
| 1, 3, 21, 91, 273, 651, 1333, 2451, 4161, 6643, 10101, 14763, 20881, 28731, 38613, 50851, 65793, 83811, 105301, 130683, 160401, 194923, 234741, 280371, 332353, 391251, 457653, 532171, 615441, 708123, 810901, 924483, 1049601
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Main diagonal of A082039. - Paul Barry (pbarry(AT)wit.ie), Apr 02 2003
Products of two consecutive central polygonal numbers A002061(n) = n^2 - n + 1. - Alexander Adamchuk (alex(AT)kolmogorov.com), Apr 12 2006
The base of the natural logarithms e = 2*sum {n = 0 ..inf} 1/(a(n)*n!) and zeta(2) = Pi^2/6 = 1 + 2*sum {n = 1 ..inf} (-1)^(n+1)/(a(n)*n^2). - Peter Bala (pbala(AT)toucansurf.com), Jan 20 2008
|
|
FORMULA
|
a(n)=n^4+n^2+1. - Paul Barry (pbarry(AT)wit.ie), Apr 02 2003
a(n) = (n^2-n+1)*(n^2+n+1) = A002061(n)*A002061(n+1). a(n) = (n^6-1)/(n^2-1), n>1. a(n) = (n^5-n^4+n^3-n^2+n-1)/(n-1) = A062159(n)/(n-1), n>1. - Alexander Adamchuk (alex(AT)kolmogorov.com), Apr 12 2006
O.g.f.: -52/(-1+x)^3-60/(-1+x)^4-3/(-1+x)-24/(-1+x)^5-18/(-1+x)^2. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 26 2008
|
|
MAPLE
|
with (combinat):seq(fibonacci(3, n)+n^4, n=0..40); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2008
|
|
CROSSREFS
|
Cf. A062159, A002061.
Sequence in context: A071351 A083231 A129755 this_sequence A108970 A069017 A074597
Adjacent sequences: A059823 A059824 A059825 this_sequence A059827 A059828 A059829
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas, Feb 24 2001
|
|
|
Search completed in 0.006 seconds
|
