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A096459 Triangle read by rows: T(n,k) = n^2 mod prime(k), 1<=k<=n. +0
1
1, 0, 1, 1, 0, 4, 0, 1, 1, 2, 1, 1, 0, 4, 3, 0, 0, 1, 1, 3, 10, 1, 1, 4, 0, 5, 10, 15, 0, 1, 4, 1, 9, 12, 13, 7, 1, 0, 1, 4, 4, 3, 13, 5, 12, 0, 1, 0, 2, 1, 9, 15, 5, 8, 13, 1, 1, 1, 2, 0, 4, 2, 7, 6, 5, 28, 0, 0, 4, 4, 1, 1, 8, 11, 6, 28, 20, 33, 1, 1, 4, 1, 4, 0, 16, 17, 8, 24, 14, 21, 5, 0, 1, 1, 0 (list; table; graph; listen)
OFFSET

1,6

COMMENT

T(n,k)=0 iff k is a prime factor of n:

A001221(n) = number of zeros in n-th row;

T(n,1)=A000035(n);

T(n,2)=A011655(n) for n>1; T(n,3)=A070430(n) for n>2;

T(n,4)=A053879(n) for n>3; T(n,5)=A070434(n) for n>4;

T(n,6)=A070436(n) for n>5; T(n,7)=A054580(n) for n>6;

T(n,8)=A070441(n) for n>7; T(n,9)=A070445(n) for n>8;

T(n,10)=A070451(n) for n>9;

T(n,n)=A069547(n).

CROSSREFS

Cf. A000290, A000040, A049759.

Sequence in context: A006838 A061309 A059064 this_sequence A126222 A071637 A141277

Adjacent sequences: A096456 A096457 A096458 this_sequence A096460 A096461 A096462

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 12 2004

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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