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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A132108 Triangle T(n,k) = binomial(n,k)+n-k read by rows. 2
1, 2, 1, 3, 3, 1, 4, 5, 4, 1, 5, 7, 8, 5, 1, 6, 9, 13, 12, 6, 1, 7, 11, 19, 23, 17, 7, 1, 8, 13, 26, 39, 38, 23, 8, 1, 9, 15, 34, 61, 74, 59, 30, 9, 1, 10, 17, 43, 90, 131, 130, 87, 38, 10, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..5000

FORMULA

T(n,k) = A007318(n,k) + A002024(n,k) - A002260(n,k).

EXAMPLE

First few rows of the triangle are:

1;

2, 1;

3, 3, 1;

4, 5, 4, 1;

5, 7, 8, 5, 1;

6, 9, 13, 12, 6, 1;

7, 11, 19, 23, 17, 7, 1;

...

MATHEMATICA

Table[Binomial[n, k]+n-k, {n, 0, 10}, {k, 0, n}]//Flatten (* Harvey P. Dale, Mar 08 2018 *)

PROG

(MAGMA) /* As triangle: */ [[Binomial(n, k)+n-k: k in [0..n]]: n in [0.. 15]]; // Vincenzo Librandi, May 23 2016

CROSSREFS

Cf. A007318, A002024, A002260, A132109 (row sums).

Sequence in context: A208721 A208777 A104732 * A210489 A125175 A210552

Adjacent sequences:  A132105 A132106 A132107 * A132109 A132110 A132111

KEYWORD

nonn,easy,tabl

AUTHOR

Gary W. Adamson, Aug 09 2007

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 22 13:47 EST 2019. Contains 329393 sequences. (Running on oeis4.)