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A070424 7^n mod 41. 1
1, 7, 8, 15, 23, 38, 20, 17, 37, 13, 9, 22, 31, 12, 2, 14, 16, 30, 5, 35, 40, 34, 33, 26, 18, 3, 21, 24, 4, 28, 32, 19, 10, 29, 39, 27, 25, 11, 36, 6, 1, 7, 8, 15, 23, 38, 20, 17, 37, 13, 9, 22, 31, 12, 2, 14, 16, 30, 5, 35, 40, 34, 33, 26, 18, 3, 21, 24, 4, 28, 32, 19, 10, 29, 39 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n) = +a(n-1) -a(n-20) +a(n-21). G.f.: ( -1-6*x-x^2-7*x^3-8*x^4-15*x^5+18*x^6+3*x^7-20*x^8+24*x^9+4*x^10-13*x^11-9*x^12+19*x^13+10*x^14-12*x^15-2*x^16-14*x^17+25*x^18-30*x^19-6*x^20 ) / ( (x-1)*(x^4+1)*(x^16-x^12+x^8-x^4+1) ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]

PROG

(Other) sage: [power_mod(7, n, 41)for n in xrange(0, 75)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 27 2009]

CROSSREFS

Sequence in context: A015893 A165465 A047521 * A022097 A041100 A129658

Adjacent sequences:  A070421 A070422 A070423 * A070425 A070426 A070427

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), May 12 2002

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Last modified February 16 23:45 EST 2012. Contains 205978 sequences.