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

 

Logo


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

Table of n, a(n) for n=1..55.

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,changed

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 | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified July 29 15:45 EDT 2015. Contains 260112 sequences.