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A057768 From Goldbach problem: number of decompositions of 2n-1 into sum of a prime lucky number(from A031157) and a twin even-lucky-number(from A045955, A045956). 0
0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 4, 5, 2, 3, 4, 4, 2, 2, 2, 3, 2, 1, 3, 4, 3, 4, 4, 4, 4, 5, 3, 3, 3, 2, 2, 2, 2, 4, 2, 3, 3, 3, 3, 3, 3, 3, 2, 4, 3, 2, 2, 4, 4, 4, 3, 4, 3, 3, 4, 5, 4, 3, 3, 4, 3, 3, 1, 5, 4, 2, 3, 6, 4, 5, 5, 4, 4, 6, 4, 5, 3, 1, 2, 3, 4, 5, 4, 3, 5, 6, 3, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Conjecture: this sequence is always positive (with n>2).

LINKS

Table of n, a(n) for n=0..104.

EXAMPLE

1 and 3 are not the sum of a prime lucky number and a twin even-lucky-number, so a(1) = a(2) = 0; 5=3+2 (one way, so a(3)=1); 7=3+4 (so a(4)=1); 9=3+6=7+2 (so a(5)=2); etc.

CROSSREFS

Cf. A045954, A045955, A045956, A031157, A000959, A002375, A045917.

Sequence in context: A224963 A073810 A055255 * A317990 A106030 A104888

Adjacent sequences:  A057765 A057766 A057767 * A057769 A057770 A057771

KEYWORD

easy,fini,nonn

AUTHOR

Naohiro Nomoto, Nov 01 2000

STATUS

approved

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Last modified October 18 10:53 EDT 2021. Contains 348067 sequences. (Running on oeis4.)