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

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A125102 Triangle read by rows: T(n,k)=(k+1)binomial(n,k) + [3-(-1)^k]binomial(n,k+1)/2 (0<=k<=n). 0
 1, 2, 2, 3, 6, 3, 4, 12, 10, 4, 5, 20, 22, 18, 5, 6, 30, 40, 50, 26, 6, 7, 42, 65, 110, 81, 38, 7, 8, 56, 98, 210, 196, 140, 50, 8, 9, 72, 140, 364, 406, 392, 204, 66, 9, 10, 90, 192, 588, 756, 924, 624, 306, 82, 10, 11, 110, 255, 900, 1302, 1932, 1590, 1050, 415, 102, 11, 12 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Binomial transform of the bidiagonal matrix with (1,2,3...) in the main diagonal and (1,2,1,2,1,2...) in the subdiagonal. Sum of terms in row n = (n+5)*2^(n-1)-2 for n>=1. LINKS EXAMPLE First few rows of the triangle are: 1; 2, 2; 3, 6, 3; 4, 12, 10, 4; 5, 20, 22, 18, 5; 6, 30, 40, 50, 26, 6; 7, 42, 65, 110, 81, 38, 7; ... MAPLE T:=(n, k)->(k+1)*binomial(n, k)+(3-(-1)^k)*binomial(n, k+1)/2: for n from 0 to 11 do seq(T(n, k), k=0..n) od; # yields sequence in triangular form CROSSREFS Sequence in context: A291543 A296320 A296396 * A003506 A047662 A329655 Adjacent sequences:  A125099 A125100 A125101 * A125103 A125104 A125105 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Nov 20 2006 EXTENSIONS Edited by N. J. A. Sloane, Nov 29 2006 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 January 21 11:16 EST 2020. Contains 331105 sequences. (Running on oeis4.)