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

 

Logo

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!)
A091435 Array T(n,k) = n*(n+k), read by antidiagonals. 1
0, 1, 0, 4, 2, 0, 9, 6, 3, 0, 16, 12, 8, 4, 0, 25, 20, 15, 10, 5, 0, 36, 30, 24, 18, 12, 6, 0, 49, 42, 35, 28, 21, 14, 7, 0, 64, 56, 48, 40, 32, 24, 16, 8, 0, 81, 72, 63, 54, 45, 36, 27, 18, 9, 0, 100, 90, 80, 70, 60, 50, 40, 30, 20, 10, 0, 121, 110, 99, 88, 77, 66, 55, 44, 33, 22, 11, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Muniru A Asiru, Table of n, a(n) for n = 0..5150 (rows n = 0..100,flattened)

P. De Geest, Palindromic Quasipronics of the form n(n+x)

FORMULA

G.f.: x*(1+x-2*x^2*y)/((1-x*y)^2*(1-x)^3). - Vladeta Jovovic, Mar 05 2004

EXAMPLE

Table begins

   0;

   1,  0;

   4,  2,  0;

   9,  6,  3,  0;

  16, 12,  8,  4,  0;

  25, 20, 15, 10,  5,  0;

  36, 30, 24, 18, 12,  6,  0;

  ...

a(5,3) = 40 because 5 * (5 + 3) = 5 * 8 = 40.

MAPLE

seq(seq((j-i)*j, i=0..j), j=0..14);

MATHEMATICA

Table[# (# + k) &[m - k], {m, 0, 11}, {k, 0, m}] // Flatten (* Michael De Vlieger, Oct 15 2018 *)

PROG

(GAP) Flat(List([0..11], j->List([0..j], i->j*(j-i)))); # Muniru A Asiru, Sep 11 2018

CROSSREFS

Columns: a(n, 0) = A000290(n), a(n, 1) = A002378(n), a(n, 2) = A005563(n), a(n, 3) = A028552(n), a(n, 4) = A028347(n+2), a(n, 5) = A028557(n), a(n, 6) = A028560(n), a(n, 7) = A028563(n), a(n, 8) = A028566(n). Diagonals: a(n, n-4) = A054000(n-1), a(n, n-3) = A014107(n), a(n, n-2) = A046092(n-1), a(n, n-1) = A000384(n), a(n, n) = A001105(n), a(n, n+1) = A014105(n), a(n, n+2) = A046092(n), a(n, n+3) = A014106(n), a(n, n+4) = A054000(n+1), a(n, n+5) = A033537(n). Also note that the sums of the antidiagonals = A002411.

Cf. A056536, A056537, A082156.

Sequence in context: A196774 A219245 A299769 * A118441 A244131 A206428

Adjacent sequences:  A091432 A091433 A091434 * A091436 A091437 A091438

KEYWORD

easy,nonn,tabl

AUTHOR

Ross La Haye, Mar 02 2004

EXTENSIONS

More terms from Emeric Deutsch, Mar 15 2004

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 January 17 05:26 EST 2019. Contains 319207 sequences. (Running on oeis4.)