A038277 Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*11^j.

1, 7, 11, 49, 154, 121, 343, 1617, 2541, 1331, 2401, 15092, 35574, 37268, 14641, 16807, 132055, 415030, 652190, 512435, 161051, 117649, 1109262, 4357815, 9130660, 10761135, 6764142, 1771561, 823543, 9058973, 42706587, 111850585

Offset

0,2

References

B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 109-121.

Links

Vincenzo Librandi, Rows n = 0..100, flattened

Gábor Kallós, A generalization of Pascal’s triangle using powers of base numbers, Annales mathématiques Blaise Pascal, 13 no. 1 (2006), p. 1-15.

Example

Triangle begins:
1,
7, 11,
49, 154, 121,
343, 1617, 2541, 1331,
2401, 15092, 35574, 37268, 14641,
16807, 132055, 415030, 652190, 512435, 161051,
... - Vincenzo Librandi, Apr 22 2014

Mathematica

Flatten[Table[Binomial[i, j] 7^(i-j) 11^j, {i, 0, 10}, {j, 0, i}]] (* Vincenzo Librandi, Apr 22 2014 *)

Crossrefs

Sequence in context: A057290 A003599 A018508 * A045462 A263231 A077411

Adjacent sequences: A038274 A038275 A038276 * A038278 A038279 A038280

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane.

Status

approved