login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A096816 Row sums of triangle A096815, in which A096815(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and k. 5
1, 2, 3, 5, 9, 15, 26, 44, 75, 129, 220, 378, 648, 1114, 1910, 3284, 5635, 9677, 16608, 28501, 48930, 83973, 144150, 247396, 424612, 728577, 1250185, 2144858, 3679772, 6313029, 10830673, 18581706, 31880471, 54698330, 93847987, 161021223 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..35.

MATHEMATICA

T[n_, k_] := T[n, k] = If[n < k || k < 0, 0, If[k = 1 || k == n, 1, Sum[T[n-k, j]T[k, k-j], {j, 0, k}]]]

Table[Sum[T[n, k], {k, 0, n}], {n, 0, 50}] [Emanuele Munarini, May 16 2012]

PROG

(Maxima) T(n, k):= if ( n<k or k<0 ) then 0 else if ( k<=1 or k=n ) then 1 else sum(T(n-k, j)*T(k, k-j), j, 0, k);

makelist(sum(T(n, k), k, 0, n), n, 0, 12); [Emanuele Munarini, May 12 2012]

CROSSREFS

Cf. A096815.

Sequence in context: A114138 A114140 A302018 * A220127 A286887 A018157

Adjacent sequences:  A096813 A096814 A096815 * A096817 A096818 A096819

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 24 04:08 EST 2020. Contains 338607 sequences. (Running on oeis4.)