A281422 -id:A281422

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A281423

Expansion of (Sum_{k>=1} x^prime(prime(k)))^2 [even terms only].

+10
1

0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 3, 0, 0, 2, 0, 0, 3, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 3, 2, 0, 0, 4, 4, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 4, 0, 0, 0, 2, 0, 2, 4, 0, 1, 2, 0, 2, 4, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 4, 0, 0, 0, 2, 2, 2, 0, 1, 6, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 0, 0, 2, 4, 0, 2, 4, 1, 2, 4

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OFFSET

0,5

COMMENTS

Number of ways to write 2n as an ordered sum of two primes with prime subscripts (A006450).

LINKS

Table of n, a(n) for n=0..111.

Ilya Gutkovskiy, Extended graphical example

Index entries for sequences related to compositions

FORMULA

G.f.: (Sum_{k>=1} x^prime(prime(k)))^2 [even terms only].

EXAMPLE