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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A225419 Triangle read by rows: T(n,k) (0 <= k <= n) = binomial(2*n+2,k). 1
 1, 1, 4, 1, 6, 15, 1, 8, 28, 56, 1, 10, 45, 120, 210, 1, 12, 66, 220, 495, 792, 1, 14, 91, 364, 1001, 2002, 3003, 1, 16, 120, 560, 1820, 4368, 8008, 11440, 1, 18, 153, 816, 3060, 8568, 18564, 31824, 43758, 1, 20, 190 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Row sums are A000346. LINKS Roger L. Bagula, a225419nb.txt EXAMPLE Triangle begins: 1, 1, 4, 1, 6, 15, 1, 8, 28, 56, 1, 10, 45, 120, 210, 1, 12, 66, 220, 495, 792, 1, 14, 91, 364, 1001, 2002, 3003, ... MATHEMATICA Flatten[Table[Table[DifferenceRoot[Function[{y, n}, {(-(2*m + 1) + n) y[n] + n y[1 + n] == 0, y[1] == 1}]][k], {k, 1, m}], {m, 1, 10}]] Flatten[Table[Binomial[2n+2, k], {n, 0, 10}, {k, 0, n}]] (* Harvey P. Dale, Apr 13 2014 *) CROSSREFS Cf. A127673, A062344, A034870, A000346. Sequence in context: A094264 A298829 A056140 * A140895 A191714 A126150 Adjacent sequences:  A225416 A225417 A225418 * A225420 A225421 A225422 KEYWORD nonn,tabl,easy AUTHOR Roger L. Bagula, May 07 2013 EXTENSIONS Edited by N. J. A. Sloane, May 11 2013 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.

Last modified August 15 16:02 EDT 2020. Contains 336505 sequences. (Running on oeis4.)