The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A152205 Triangle read by rows, A000012 * A152204. 4
 1, 4, 9, 1, 16, 4, 25, 9, 1, 36, 16, 4, 49, 25, 9, 1, 64, 36, 16, 4, 81, 49, 25, 9, 1, 100, 64, 36, 16, 4, 121, 81, 49, 25, 9, 1, 144, 100, 64, 36, 16, 4, 169, 121, 81, 49, 25, 9, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row sums = A000292, the tetrahedral numbers. From Gary W. Adamson, Feb 14 2010: (Start) Let the triangle = M. Then lim_{n->inf} M^n = A173277 as a left-shifted vector: (1, 4, 13, 32, 74, 152, 298, ...) = A(x), where A(x) satisfies A000290 = A(x)/A(x^2), A000290 = integer squares. M * [1, 2, 3, ...] = A001752: (1, 4, 11, 24, 46, 80, 130, ...). M * [1, 3, 6, 10, ...] = A028346: (1, 4, 12, 28, 58, 108, ...). (End) LINKS FORMULA A000012 * A152204 = partial sums of A152204 by columns. EXAMPLE First few rows of the triangle:     1;     4;     9,   1;    16,   4;    25,   9,   1;    36,  16,   4;    49,  25,   9,   1;    64,  36,  16,   4;    81,  49,  25,   9,   1;   100,  64,  36,  16,   4;   121,  81,  49,  25,   9,   1;   144, 100,  64,  36,  16,   4;   169, 121,  81,  49,  25,   9,   1;   ... CROSSREFS Cf. A152204, A000292. Cf. A173277, A001752, A028346. - Gary W. Adamson, Feb 14 2010 Sequence in context: A070438 A070638 A236104 * A129861 A055491 A032523 Adjacent sequences:  A152202 A152203 A152204 * A152206 A152207 A152208 KEYWORD nonn,tabf AUTHOR Gary W. Adamson, Nov 29 2008 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 4 12:27 EDT 2022. Contains 355075 sequences. (Running on oeis4.)