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A070452 n^2 mod 30. +0
9
0, 1, 4, 9, 16, 25, 6, 19, 4, 21, 10, 1, 24, 19, 16, 15, 16, 19, 24, 1, 10, 21, 4, 19, 6, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 6, 19, 4, 21, 10, 1, 24, 19, 16, 15, 16, 19, 24, 1, 10, 21, 4, 19, 6, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 6, 19, 4, 21, 10, 1, 24, 19, 16, 15, 16, 19, 24, 1 (list; graph; listen)
OFFSET

0,3

COMMENT

a(m*n)=a(m)*a(n) mod 30; a(15*n+k)=a(15*n-k) for k<=15*n; a(n+30)=a(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 24 2009]

FORMULA

a(n)= -a(n-1) +a(n-3) +a(n-4) -a(n-6) -a(n-7) +a(n-9) +a(n-10) -a(n-12) -a(n-13) +a(n-15) +a(n-16) -a(n-18) -a(n-19) +a(n-21) +a(n-22) -a(n-24) -a(n-25) +a(n-27) +a(n-28). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 23 2009]

PROGRAM

(Other) sage: [power_mod(n, 2, 30)for n in xrange(0, 75)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 03 2009]

CROSSREFS

A010462, A070431, A008959, A070435, A070438, A070442, A159852, A000290. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 24 2009]

Sequence in context: A070455 A070454 A070453 this_sequence A070653 A070451 A070450

Adjacent sequences: A070449 A070450 A070451 this_sequence A070453 A070454 A070455

KEYWORD

nonn

AUTHOR

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

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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