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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A155156 Triangle T(n, k) = 4*n*k + 2*n + 2*k, read by rows. 3
8, 14, 24, 20, 34, 48, 26, 44, 62, 80, 32, 54, 76, 98, 120, 38, 64, 90, 116, 142, 168, 44, 74, 104, 134, 164, 194, 224, 50, 84, 118, 152, 186, 220, 254, 288, 56, 94, 132, 170, 208, 246, 284, 322, 360, 62, 104, 146, 188, 230, 272, 314, 356, 398, 440, 68, 114, 160, 206, 252, 298, 344, 390, 436, 482, 528 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

First column: A016933, second column: A017317, third column: A063151, fourth column: 2*A017209. - Vincenzo Librandi, Nov 21 2012

LINKS

Vincenzo Librandi, Rows n = 1..100, flattened

FORMULA

T(n, k) = 2*A083487(n, k). - R. J. Mathar, Jan 05 2011

Sum_{k=0..n} T(n,k) = n*(2*n^2 + 5*n + 1) = 2*A162254(n) = A163832(n). - G. C. Greubel, Mar 20 2021

EXAMPLE

Triangle begins:

   8;

  14,  24;

  20,  34,  48;

  26,  44,  62,  80;

  32,  54,  76,  98, 120;

  38,  64,  90, 116, 142, 168;

  44,  74, 104, 134, 164, 194, 224;

  50,  84, 118, 152, 186, 220, 254, 288;

  56,  94, 132, 170, 208, 246, 284, 322, 360;

  62, 104, 146, 188, 230, 272, 314, 356, 398, 440;

MAPLE

seq(seq( 2*(2*n*k +n+k), k=1..n), n=1..15); # G. C. Greubel, Mar 20 2021

MATHEMATICA

T[n_, k_]:=4*n*k +2*n +2*k; Table[T[n, k], {n, 15}, {k, n}]//Flatten (* Vincenzo Librandi, Nov 21 2012 *)

PROG

(MAGMA) [4*n*k + 2*n + 2*k : k in [1..n], n in [1..11]]; // Vincenzo Librandi, Nov 21 2012

(Sage) flatten([[2*(2*n*k +n+k) for k in (1..n)] for n in (1..15)]) # G. C. Greubel, Mar 20 2021

CROSSREFS

Cf. A016933, A017317, A063151, A017209. A083487, A162254, A163832 (row sums).

Sequence in context: A053668 A218145 A250098 * A275898 A248427 A090993

Adjacent sequences:  A155153 A155154 A155155 * A155157 A155158 A155159

KEYWORD

nonn,tabl,easy

AUTHOR

Vincenzo Librandi, Jan 21 2009

EXTENSIONS

Edited by Robert Hochberg, Jun 21 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 26 14:28 EDT 2021. Contains 348267 sequences. (Running on oeis4.)