A239544 - OEIS

A239544

(Round(c^prime(n)) - 1)/prime(n), where c is the tetranacci constant (A086088).

14, 124, 390, 4118, 13690, 156122, 6351030, 22074820, 948652694, 11818395344, 41868809842, 528803858638, 24052859078262, 1108257471317098, 3982717894786008, 185987895674303758, 2422894681885464596, 8755616404517667662, 414985190213435939298

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

OFFSET

4,1

COMMENTS

For n>=4, round(c^prime(n)) == 1 (mod 2*prime(n)). Proof in Shevelev link. In particular, all terms are even.

LINKS

Table of n, a(n) for n=4..22.

S. Litsyn and V. Shevelev, Irrational Factors Satisfying the Little Fermat Theorem, International Journal of Number Theory, vol.1, no.4 (2005), 499-512.

V. Shevelev, A property of n-bonacci constant, Seqfan (Mar 23 2014)

Eric Weisstein's World of Mathematics, Tetranacci Constant

CROSSREFS

Cf. A007619, A007663, A238693, A238697, A238698, A238700, A086088, A239502.

Sequence in context: A206628 A370966 A235710 * A167567 A188411 A125377

Adjacent sequences: A239541 A239542 A239543 * A239545 A239546 A239547

KEYWORD

nonn

AUTHOR

Vladimir Shevelev and Peter J. C. Moses, Mar 21 2014

STATUS

approved