This site is supported by donations to The OEIS Foundation.

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!)
 A169629 Array T(n,k) read by antidiagonals: T(n,k) = Sum_{v=1..n, v odd} binomial(n,v)*k^v. 0
 1, 2, 2, 4, 4, 3, 8, 14, 6, 4, 16, 40, 36, 8, 5, 32, 122, 120, 76, 10, 6, 64, 364, 528, 272, 140, 12, 7, 128, 1094, 2016, 1684, 520, 234, 14, 8, 256, 3280, 8256, 7448, 4400, 888, 364, 16, 9, 512, 9842, 32640, 40156, 21280, 9966, 1400, 536, 18, 10 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Antidiagonal sums are: 1, 4, 11, 32, 105, 366, 1387, ... LINKS EXAMPLE 1,    2,    3,     4,      5,      6,       7, ...    2,    4,    6,     8,     10,     12,      14, ...    4,   14,   36,    76,    140,    234,     364, ...    8,   40,  120,   272,    520,    888,    1400, ...   16,  122,  528,  1684,   4400,   9966,   20272, ...   32,  364, 2016,  7448,  21280,  51012,  107744, ...   64, 1094, 8256, 40156, 148160, 450834, 1188544, ... PROG (PARI) tabl(nn) = {for (n=1, nn, for (k=1, nn, print1(sum(v=1, n, (v%2)*binomial(n, v)*k^v), ", "); ); print(); ); } \\ Michel Marcus, Jul 22 2015 CROSSREFS Cf. A152011. Cf. A005843 (2nd line), A079908 (3rd line), A105374 (4th line). Sequence in context: A110545 A104798 A243238 * A231731 A143358 A143729 Adjacent sequences:  A169626 A169627 A169628 * A169630 A169631 A169632 KEYWORD nonn,tabl AUTHOR Roger L. Bagula, Mar 03 2010 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.