A185726 Array associated with A049480, by descending antidiagonals.

1, 3, 4, 8, 10, 10, 18, 22, 24, 21, 35, 44, 45, 48, 39, 61, 80, 81, 84, 86, 66, 98, 134, 138, 136, 144, 142, 104, 148, 210, 222, 216, 220, 231, 220, 155, 213, 312, 339, 332, 325, 340, 351, 324, 221, 295, 444, 495, 492, 475, 480, 504, 510, 458, 304, 396, 610, 696, 704, 680, 666, 690, 720, 714, 626, 406, 518, 814, 948, 976, 950, 918, 924, 965, 996, 969, 832, 529, 663, 1060, 1257, 1316, 1295, 1248, 1225, 1260, 1315, 1340, 1281, 1080, 675, 833, 1352, 1629, 1732, 1725

Offset

1,2

Comments

The correct definition is unknown. The original formula and the program given by Clark Kimberling for this sequence yield A213922.

Conjectures by Georg Fischer, Jun 01 2026: (Start)

The first column is A049480.

The first row is A081489.

The g.f.s of the rows have (1 - x^4) as numerator and recurrences with signature (4,-6,4,-1). (End)

Links

Table of n, a(n) for n=1..96.

Example

  n/k  1    2    3    4    5    6    7    8    9   10    11   12   13
  -+-----------------------------------------------------------------
  1|   1    3    8   18   35   61   98  148  213  295   396  518  663
  2|   4   10   22   44   80  134  210  312  444  610   814 1060
  3|  10   24   45   81  138  222  339  495  696  948  1257
  4|  21   48   84  136  216  332  492  704  976 1316
  5|  39   86  144  220  325  475  680  950 1295
  6|  66  142  231  340  480  666  918 1248
  7| 104  220  351  504  690  924 1225
  8| 155  324  510  720  965 1260
  9| 221  458  714  996 1315
 10| 304  626  969 1340
 11| 406  832 1281
 12| 529 1080
 13| 675

Crossrefs

Cf. A049480, A081489, A213922.

Sequence in context: A253606 A258640 A345223 * A152520 A239976 A191193

Adjacent sequences: A185723 A185724 A185725 * A185727 A185728 A185729

Keyword

nonn,tabl

Author

Clark Kimberling, Feb 01 2011

Extensions

Definition changed by Georg Fischer, Jun 01 2026

Status

approved