A061344 Numbers of form p^m + 1, p odd prime, m >= 1.

4, 6, 8, 10, 12, 14, 18, 20, 24, 26, 28, 30, 32, 38, 42, 44, 48, 50, 54, 60, 62, 68, 72, 74, 80, 82, 84, 90, 98, 102, 104, 108, 110, 114, 122, 126, 128, 132, 138, 140, 150, 152, 158, 164, 168, 170, 174, 180, 182, 192, 194, 198, 200, 212, 224, 228, 230, 234, 240

Offset

1,1

Comments

Lengths of almost-binary sequences with perfect odd-periodic autocorrelation function.

As J. Arndt points out, each element of this sequence leads to a conference matrix (cf. link to Wikipedia and A000952). - M. F. Hasler, Mar 14 2008

References

H. D. Lueke, Binary odd-periodic complementary sequences. IEEE Trans. Inform. Theory, 43, pp. 365-367, 1997.

Links

M. F. Hasler, Table of n, a(n) for n = 1..10000

Wikipedia, Conference matrix.

Prog

(PARI) A061344(n)= local(m=1, p); for(c=1, n, until( isprime(m+=2) || ispower(m, [null], && p) && isprime(p), ); /*print(c, " ", m+1)*/); m+1 \\ - M. F. Hasler, Mar 14 2008

Crossrefs

Equals A061345 + 1. Cf. A000952.

Sequence in context: A186331 A258036 A242396 * A066664 A064938 A050990

Adjacent sequences: A061341 A061342 A061343 * A061345 A061346 A061347

Keyword

nonn,easy

Author

Hans Dieter Lueke (lueke(AT)ient.rwth-aachen.de), Jun 08 2001

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Jun 12 2001

Edited by M. F. Hasler, Mar 14 2008

Status

approved