A337974 Triangular array read by rows: T(n,k) = A337946(n) * A337946(k), for 1 <= k <= n.

1, 3, 9, 7, 21, 49, 12, 36, 84, 144, 22, 66, 154, 264, 484, 30, 90, 210, 360, 660, 900, 47, 141, 329, 564, 1034, 1410, 2209, 61, 183, 427, 732, 1342, 1830, 2867, 3721, 85, 255, 595, 1020, 1870, 2550, 3995, 5185, 7225, 113, 339, 791, 1356, 2486, 3390, 5311, 6893, 9605, 12769

Offset

1,2

Comments

This sequence, A337947, and A337972 partition the positive integers.

Links

Peter Kagey, Table of n, a(n) for n = 1..10011 (first 141 rows, flattened)

Example

Multiplication table for A337946 begins:
  *  |  1   3   7   12   22   30   47   61   85
-----+-----------------------------------------
   1 |  1
   3 |  3   9
   7 |  7  21  49
  12 | 12  36  84  144
  22 | 22  66 154  264  484
  30 | 30  90 210  360  660  900
  47 | 47 141 329  564 1034 1410 2209
  61 | 61 183 427  732 1342 1830 2867 3721
  85 | 85 255 595 1020 1870 2550 3995 5185 7225

Crossrefs

Cf. A337661, A337946, A338016, A338033.

Cf. A337972 (addition table), A337975 (read by antidiagonals).

Sequence in context: A178414 A220654 A302158 * A137299 A329238 A001226

Adjacent sequences: A337971 A337972 A337973 * A337975 A337976 A337977

Keyword

nonn,tabl

Author

Peter Kagey, Oct 05 2020

Status

approved