|
Search: id:A162013
|
|
|
| A162013 |
|
The sequence of the absolute values of the a(n-3) coefficients of A162011 |
|
+0
4
|
|
| 0, 9, 3748, 163160, 2549775, 22768402, 141820764, 685234196, 2738273230, 9438613635, 28894483904, 80240970524, 205377597269, 490460693060, 1103418293480, 2356809738456, 4809498575164, 9426116131517, 17820475867500
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
FORMULA
|
a(n) = (280*n^12+1680*n^11-252*n^10-16660*n^9-13758*n^8+63408*n^7+68705*n^6-104265*n^5-111657*n^4+66997*n^3+56682*n^2-11160*n)/45360
Recurrence relation sum((-1)^k*binomial(13,k)*a(n-k), k= 0..13) = 0
GF(z) = z*(9+3631*z+115138*z^2+718465*z^3+1282314*z^4+718465*z^5+115138*z^6+ 3631*z^7+ 9*z^8)/(1-z)^13
|
|
MAPLE
|
nmax:=21; for n from 1 to nmax do RR(n) := expand(product((1-(2*k-1)^2*z)^(n-k+1), k=1..n), z) od: T:=1: for n from 1 to nmax do a(T):=coeff(-RR(n), z, 3): T:=T+1 od: seq(a(k), k=1..T-1);
|
|
CROSSREFS
|
Equals the absolute values of the coefficients that precede the a(n-3) factors of the recurrence relations RR(n) of A162011.
Cf. A006324 [a(n-1)] and A162012 [a(n-2)].
Sequence in context: A033997 A068729 A159775 this_sequence A046896 A036516 A024126
Adjacent sequences: A162010 A162011 A162012 this_sequence A162014 A162015 A162016
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 27 2009
|
|
|
Search completed in 0.002 seconds
|
