A271572 a(n) = n^7 mod 32.

0, 1, 0, 11, 0, 13, 0, 23, 0, 25, 0, 3, 0, 5, 0, 15, 0, 17, 0, 27, 0, 29, 0, 7, 0, 9, 0, 19, 0, 21, 0, 31, 0, 1, 0, 11, 0, 13, 0, 23, 0, 25, 0, 3, 0, 5, 0, 15, 0, 17, 0, 27, 0, 29, 0, 7, 0, 9, 0, 19, 0, 21, 0, 31, 0, 1, 0, 11, 0, 13, 0, 23, 0, 25, 0, 3, 0, 5

Offset

0,4

Links

Table of n, a(n) for n=0..77.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Formula

G.f.: (x + 11*x^3 + 13*x^5 + 23*x^7 + 25*x^9 + 3*x^11 + 5*x^13 + 15*x^15 + 17*x^17 + 27*x^19 + 29*x^21 + 7*x^23 + 9*x^25 + 19*x^27 + 21*x^29 + 31*x^31)/(1-x^32).

a(n) = a(n-32).

Mathematica

PowerMod[Range[0, 100], 7, 32]

Prog

(Magma) [Modexp(n, 7, 32): n in [0..100]];
(PARI) a(n) = n^7 % 32; \\ Altug Alkan, Apr 10 2016
(Python) for n in range(0, 50):print((n**7)%32) # Soumil Mandal, Apr 11 2016

Crossrefs

Sequence in context: A088621 A088623 A167166 * A180059 A147765 A087556

Adjacent sequences: A271569 A271570 A271571 * A271573 A271574 A271575

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 10 2016

Status

approved