A038322 Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*8^j.

1, 11, 8, 121, 176, 64, 1331, 2904, 2112, 512, 14641, 42592, 46464, 22528, 4096, 161051, 585640, 851840, 619520, 225280, 32768, 1771561, 7730448, 14055360, 13629440, 7434240, 2162688, 262144, 19487171, 99207416, 216452544, 262366720, 190812160, 83263488, 20185088, 2097152

Offset

0,2

Links

Michael De Vlieger, Table of n, a(n) for n = 0..11475 (rows n = 1..150, flattened)

Bjorg N. Cyvin, Jon Brunvoll, and Sven J. Cyvin, Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), 109-121.

Bulat Khaidarov, Enumeration of Certain k-Block Partitions of Barry, J. Int. Seq. 29 (2026), Art. 26.2.8. See p. 6 (Table 2).

Example

The triangle begins as:
      1;
     11,     8;
    121,   176,    64;
   1331,  2904,  2112,   512;
  14641, 42592, 46464, 22528, 4096;
  ...

Mathematica

Flatten@ Table[Binomial[i, j]*11^(i - j)*8^j, {i, 0, 7}, {j, 0, i}] (* Michael De Vlieger, Jun 03 2026 *)

Crossrefs

Row sums give A001029.

Alternating row sums give A000244.

Column k=0 gives A001020.

Main diagonal is A001018.

Sequence in context: A304699 A377042 A133236 * A299972 A378899 A334275

Adjacent sequences: A038319 A038320 A038321 * A038323 A038324 A038325

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane

Status

approved