A006170 - OEIS

A006170

Number of factorization patterns of polynomials of degree n over F_5.
(Formerly M2478)

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

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)

FORMULA

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

CROSSREFS

Cf. A006167-A006171.

Cf. A001692.

Sequence in context: A124173 A091610 A327044 * A147071 A006171 A261674

Adjacent sequences: A006167 A006168 A006169 * A006171 A006172 A006173

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

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

STATUS

approved