login
Number of decompositions of 2n-1 into sum of a twin lucky number and a twin even-lucky-number (from A045955, A045956).
1

%I #7 Apr 08 2020 02:18:48

%S 0,1,2,2,2,3,4,3,3,5,4,3,4,3,2,2,3,5,5,2,2,5,4,2,4,7,7,6,5,4,4,3,3,5,

%T 6,6,5,5,6,5,4,6,8,5,2,3,4,3,1,3,7,7,4,3,5,5,3,4,7,7,5,4,4,4,5,7,7,5,

%U 6,8,6,5,8,9,8,8,6,4,3,1,3,7,6,5,7,9,8,6,6,8,10,8,6,7,7,5,2,2,7,9,6,8,11,6

%N Number of decompositions of 2n-1 into sum of a twin lucky number and a twin even-lucky-number (from A045955, A045956).

%C Conjecture: this sequence is always positive (with n>1).

%H Jinyuan Wang, <a href="/A057748/b057748.txt">Table of n, a(n) for n = 1..5000</a>

%e 1 is not the sum of Twin lucky number and Twin Even-Lucky-Number, so a(1)=0; 3=1+2 (one way, so a(2)=1); 5=3+2=1+4 (so a(3)=2); etc.

%Y Cf. A000959, A057701, A045954, A045955, A045956.

%K nonn,easy

%O 1,3

%A _Naohiro Nomoto_, Oct 30 2000

%E Offset changed to 1 by _Jinyuan Wang_, Apr 07 2020