login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A215242 G.f.: 1 = Sum_{n>=0} a(n)*x^n/(1+x)^((n+2)^2). 4
1, 4, 26, 256, 3489, 61696, 1352518, 35566368, 1094499820, 38670814348, 1545160614694, 68970980789472, 3404652821768232, 184295822142051600, 10861040169788302030, 692560292664515634112, 47527552597795293035916, 3493783983256399634130360, 273974326317024551368217200 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Column 2 of triangle A215241.

LINKS

Table of n, a(n) for n=0..18.

EXAMPLE

G.f.: 1 = 1/(1+x)^4 + 4*x/(1+x)^9 + 26*x^2/(1+x)^16 + 256*x^3/(1+x)^25 + 3489*x^4/(1+x)^36 + 61696*x^5/(1+x)^49 +...

Also forms the final terms in rows of the triangle where row n+1 equals the partial sums of row n with the final term repeated 2*n+1 times, starting with '[1,1,1,1]' in row 1, as illustrated by:

1, 1,  1,  1;

1, 2,  3,  4,  4,   4,   4,   4;

1, 3,  6, 10, 14,  18,  22,  26,  26,  26,  26,  26,  26,   26;

1, 4, 10, 20, 34,  52,  74, 100, 126, 152, 178, 204, 230,  256,  256,  256,  256,  256,  256,  256,  256,  256;

1, 5, 15, 35, 69, 121, 195, 295, 421, 573, 751, 955, 1185, 1441, 1697, 1953, 2209, 2465, 2721, 2977, 3233, 3489, 3489, 3489, 3489, 3489, 3489, 3489, 3489, 3489; ...

PROG

(PARI) {a(n)=if(n==0, 1, polcoeff(1-sum(k=0, n-1, a(k)*x^k/(1+x+x*O(x^n))^((k+2)^2)), n))}

for(n=0, 21, print1(a(n)", "))

CROSSREFS

Cf. A215241, A177447, A215243, A133316.

Sequence in context: A213438 A056786 A006056 * A098620 A215266 A002465

Adjacent sequences:  A215239 A215240 A215241 * A215243 A215244 A215245

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Aug 06 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 16 04:54 EST 2018. Contains 317257 sequences. (Running on oeis4.)