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A207409 Triangular array: T(k,j)=prime(k)(mod prime(j)), 1<=j<k. 5
1, 1, 2, 1, 1, 2, 1, 2, 1, 4, 1, 1, 3, 6, 2, 1, 2, 2, 3, 6, 4, 1, 1, 4, 5, 8, 6, 2, 1, 2, 3, 2, 1, 10, 6, 4, 1, 2, 4, 1, 7, 3, 12, 10, 6, 1, 1, 1, 3, 9, 5, 14, 12, 8, 2, 1, 1, 2, 2, 4, 11, 3, 18, 14, 8, 6, 1, 2, 1, 6, 8, 2, 7, 3, 18, 12, 10, 4, 1, 1, 3, 1, 10, 4, 9, 5, 20, 14, 12, 6, 2, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Top edge: A001223
Row sums: A033955
Row maxs: A039731
LINKS
Robert Israel, Table of n, a(n) for n = 1..10011 (first 141 rows, flattened)
EXAMPLE
Top 7 rows:
1............. 3 mod 2
1 2............5 mod 2, 5 mod 3
1 1 2..........7 mod 2, 7 mod 3, 7 mod 4
1 2 1 4
1 1 3 6 2
1 2 2 3 6 4
1 1 4 5 8 6 2
MAPLE
P := select(isprime, [$1..100]):
seq(seq(P[k] mod P[j], j=1..k-1), k=1..nops(P)); # Robert Israel, May 01 2017
MATHEMATICA
t = Table[Mod[Prime[k + 1], Prime[j]], {k, 1, 15},
{j, 1, k }];
Flatten[t] (* A207409 as a sequence *)
TableForm[t] (* A207409 as a triangle *)
CROSSREFS
Cf. A000040.
Sequence in context: A049843 A131374 A360286 * A013632 A080121 A122901
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Feb 17 2012
STATUS
approved

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Last modified March 29 06:57 EDT 2024. Contains 371265 sequences. (Running on oeis4.)