|
%I #45 Apr 15 2016 02:13:47
%S 15,66,630,231,435,45,465,210,36,16,529,2704,1024,1936,289,2209,784,
%T 256,651,54626,356972,135751,241001,35497,275847,116622,19780,6,39621,
%U 481671,158766,345696,16836,362526,135981,22791,697,93799,662290,298771,448804,9211,457318,214183,85285
%N Irregular table read by rows: n-th row lists the 9 n-gonal numbers of a 3 X 3 semimagic square with the smallest magic sum. The terms of each row are arranged in the manner shown in A261816.
%C The squares presented in this sequence are basic semimagic. For a definition of basic semimagic squares, see A261816.
%C The magic constants are, respectively: 711 = A269060(1), 3249 = 57^2 = A269061(1), and 412249.
%H Arkadiusz Wesolowski, <a href="/A265141/b265141.txt">Rows n = 3..8, flattened</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PolygonalNumber.html">Polygonal Number</a>
%H <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>
%e The semimagic squares are:
%e triangular numbers
%e |---|---|---|
%e | 15| 66|630|
%e |---|---|---|
%e |231|435| 45|
%e |---|---|---|
%e |465|210| 36|
%e |---|---|---|
%e .
%e square numbers
%e |----|----|----|
%e | 16 | 529|2704|
%e |----|----|----|
%e |1024|1936| 289|
%e |----|----|----|
%e |2209| 784| 256|
%e |----|----|----|
%e .
%e pentagonal numbers
%e |------|------|------|
%e | 651 | 54626|356972|
%e |------|------|------|
%e |135751|241001| 35497|
%e |------|------|------|
%e |275847|116622| 19780|
%e |------|------|------|
%Y Cf. A269060, A269061, A265142.
%K nonn,tabf
%O 3,1
%A _Arkadiusz Wesolowski_, Dec 02 2015
%E More terms from _Arkadiusz Wesolowski_, Apr 03 2016
|
