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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A096814 Row sums of triangle A096811, in which A096811(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-2). 1
1, 2, 3, 4, 5, 7, 9, 12, 15, 20, 26, 34, 45, 59, 77, 101, 132, 172, 226, 295, 387, 506, 665, 872, 1146, 1506, 1980, 2601, 3417, 4489, 5891, 7730, 10140, 13292, 17418, 22823, 29892, 39150, 51267, 67136, 87927, 115174, 150894, 197757, 259225, 339925 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Triangle A096811 has two row convergents; one forwards (A096812) and one backwards (A096813).

LINKS

Table of n, a(n) for n=0..45.

PROG

(PARI) {A096811(n, k)=if(n<k|k<0, 0, if(k<=1|k==n, 1, sum(j=1, k-1, A096811(n-k, j)*A096811(k-2, k-j-1))))} {a(n)=sum(k=0, n, A096811(n, k))}

CROSSREFS

Cf. A096811, A096812, A096813.

Sequence in context: A100853 A174065 A121659 * A039861 A039877 A272691

Adjacent sequences:  A096811 A096812 A096813 * A096815 A096816 A096817

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jul 20 2004

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 December 3 07:27 EST 2016. Contains 278698 sequences.