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A038519 Number of elements of GF(2^n) with trace 0 and subtrace 1. 3
1, 0, 1, 3, 2, 10, 16, 28, 72, 120, 256, 528, 992, 2080, 4096, 8128, 16512, 32640, 65536, 131328, 261632, 524800, 1048576, 2096128, 4196352, 8386560, 16777216, 33558528, 67100672, 134225920, 268435456, 536854528, 1073774592 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..32.

Robert Munafo, Sequences Related to Floretions

F. Ruskey, Number of irreducible polynomials over GF(2) with given trace and subtrace

F. Ruskey, Number of elements of GF(2^n) of given trace and subtrace

FORMULA

C(n, r+0)+C(n, r+4)+C(n, r+8)+... where r = 2 if n odd, r = 0 if n even.

G.f. -x*(1+3*x)/((2*x-1)*(2*x^2+2*x+1)) (conjecture) - Creighton Dement, Apr 29 2005

PROG

Floretion Algebra Multiplication Program, FAMP Code: tesseq[ - 'i - 'j - 'k - .5i' - .5k' + .5'ii' - 'jj' + .5'kk' + 'ij' - .5'ik' - .5'ji' - .5'jk' - .5'ki' + 'kj']

CROSSREFS

Cf. A038503, A038505, A038518, A038520, A038521.

Sequence in context: A025520 A099946 A011953 * A192617 A082219 A034461

Adjacent sequences:  A038516 A038517 A038518 * A038520 A038521 A038522

KEYWORD

easy,nonn

AUTHOR

Frank Ruskey

STATUS

approved

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Last modified March 25 09:40 EDT 2017. Contains 284060 sequences.