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A308046
a(n) = 2*nextprime(n - 1) - 2*n, where nextprime(n) is the smallest prime > n.
0
2, 0, 0, 2, 0, 2, 0, 6, 4, 2, 0, 2, 0, 6, 4, 2, 0, 2, 0, 6, 4, 2, 0, 10, 8, 6, 4, 2, 0, 2, 0, 10, 8, 6, 4, 2, 0, 6, 4, 2, 0, 2, 0, 6, 4, 2, 0, 10, 8, 6, 4, 2, 0, 10, 8, 6, 4, 2, 0, 2, 0, 10, 8, 6, 4, 2, 0, 6, 4, 2, 0, 2, 0, 10, 8, 6, 4, 2, 0, 6, 4, 2, 0, 10
OFFSET
1,1
COMMENTS
For n > 1, a(n) is the difference of the larger and smaller part of the single partition of 2n into two parts whose larger part is the smallest prime > n - 1.
FORMULA
a(n) = 2*A151800(n - 1) - 2*n.
EXAMPLE
a(9) = 4; the smallest prime > 8 is 11, 2*9-11 = 7 and 11-7 = 4.
MATHEMATICA
Table[2 NextPrime[n - 1, 1] - 2 n, {n, 100}]
CROSSREFS
Cf. A151800.
Sequence in context: A339441 A226914 A110036 * A289323 A086937 A213024
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, May 10 2019
STATUS
approved