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A276376
Exponent of highest power of 3 dividing product of composite numbers between n-th prime and (n+1)-st prime.
0
0, 0, 1, 2, 1, 1, 2, 1, 4, 1, 3, 1, 1, 2, 2, 4, 1, 3, 1, 2, 2, 4, 2, 4, 2, 1, 1, 3, 1, 7, 1, 4, 1, 4, 1, 3, 5, 1, 3, 2, 2, 5, 1, 1, 2, 5, 6, 2, 1, 1, 3, 1, 7, 3, 3, 2, 3, 2, 2, 1, 4, 8, 1, 1, 2, 8, 3, 4, 1, 3, 2, 4, 3, 4, 1, 3, 4, 1, 6, 4, 1, 4, 3, 2, 2, 2, 4, 3, 1, 1, 6, 7, 1, 4, 1, 3, 6
OFFSET
1,4
FORMULA
a(n) = A007949(A061214(n))
a(n + 2) = Sum_{k = A000040(n + 2)..A000040(n + 3} A007949(k)
MATHEMATICA
Table[IntegerExponent[Times@@Range[Prime[n]+1, Prime[n+1]-1], 3], {n, 100}] (* Harvey P. Dale, Mar 23 2021 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved