A245100 Triangle read by rows in which row n lists the parts of the symmetric representation of sigma(n), multiplied by n.

1, 6, 6, 6, 28, 15, 15, 72, 28, 28, 120, 45, 27, 45, 90, 90, 66, 66, 336, 91, 91, 168, 168, 120, 120, 120, 496, 153, 153, 702, 190, 190, 840, 231, 105, 105, 231, 396, 396, 276, 276, 1440, 325, 125, 325, 546, 546, 378, 162, 162, 378, 1568, 435, 435, 2160, 496, 496, 2016

Offset

1,2

Comments

Row sums give A064987.

Since both A000203(n) and A024916(n) have a symmetric representation then both row n and the triangle have can be represented as a symmetric polycube.

Links

Table of n, a(n) for n=1..58.

Formula

T(n,k) = n*A237270(n,k).

Example

The irregular triangle begins:
1;
6;
6, 6;
28;
15, 15;
72;
28, 28;
120;
45, 27, 45;
90, 90;
66, 66;
336;
91, 91;
168, 168;
120, 120, 120;
496;
153, 153;
702;
190, 190;
840;
231, 105, 105, 231;
...
For n = 9 the parts of the symmetric representation of sigma(9) are [5, 3, 5], so row 9 is [45, 27, 45].

Crossrefs

Cf. A000203, A024916, A064987, A143128, A185283, A196020, A236104, A235791, A237270, A237271, A237591, A237593, A244580.

Sequence in context: A345991 A054435 A019175 * A377213 A024953 A092281

Adjacent sequences: A245097 A245098 A245099 * A245101 A245102 A245103

Keyword

nonn,tabf

Author

Omar E. Pol, Jul 11 2014

Status

approved