A006170 Number of factorization patterns of polynomials of degree n over F_5.

1, 3, 5, 11, 17, 33, 50, 89, 135, 223, 332, 531, 776, 1194, 1730, 2591, 3700, 5429, 7660, 11035, 15417, 21851, 30225, 42300, 57966, 80146, 108956, 149076, 201073, 272587, 365009, 490656, 652700, 870597, 1150875, 1524479, 2003426, 2636589, 3446140

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

References

• R. A. Hultquist, G. L. Mullen and H. Niederreiter, Association schemes and derived PBIB designs of prime power order, Ars. Combin., 25 (1988), 65-82.
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• T. D. Noe, Table of n, a(n) for n=1..1000
• R. A. Hultquist, G. L. Mullen and H. Niederreiter, Association schemes and derived PBIB designs of prime power order, Ars. Combin., 25 (1988), 65-82. (Annotated scanned copy)

Crossrefs

Cf. A006167-A006171.

Cf. A001692.

Formula

Euler transform of sequence b(n) = sum_{d|n, A001692(d)>=n/d} 1. - Franklin T. Adams-Watters, Jun 19 2006

Extensions

More terms from Franklin T. Adams-Watters, Jun 19 2006