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A002850 Number of decompositions of 2n into sum of 2 lucky numbers.
(Formerly M0071 N0023)

%I M0071 N0023

%S 1,1,1,1,2,1,2,3,2,1,3,2,2,3,2,2,4,2,3,4,2,3,5,1,4,5,2,3,5,1,3,5,3,3,

%T 5,3,5,7,3,5,7,4,4,7,3,3,7,4,3,9,5,3,7,5,3,8,5,4,8,5,3,7,5,3,9,4,3,12,

%U 6,4,12,6,4,10,6,4,8,5,5,8,7,5,11,5,4

%N Number of decompositions of 2n into sum of 2 lucky numbers.

%C In general, a(3n-1) is larger than a(3n-2) and a(3n), which explains the bimodal nature of the graph. - _T. D. Noe_, Jan 29 2007

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%D M. L. Stein and P. R. Stein, Tables of the Number of Binary Decompositions of All Even Numbers Less Than 200,000 into Prime Numbers and Lucky Numbers. Report LA-3106, Los Alamos Scientific Laboratory of the University of California, Los Alamos, NM, Sep 1964.

%H T. D. Noe, <a href="/A002850/b002850.txt">Table of n, a(n) for n=1..10000</a>

%H V. Gardiner, R.Lazarus, N. Metropolis and S. Ulam, <a href="http://www.jstor.org/stable/3029719">On certain sequences of integers defined by sieves</a>, Math. Mag., 29 (1955), 117-119.

%Y Cf. A000959.

%K nonn,easy,nice

%O 1,5

%A _N. J. A. Sloane_.

%E _Paul Zimmermann_ points out that the second term was incorrectly given as 2 in the Encyclopedia of Integer Sequences.

%E Missing a(71)-a(73) inserted by _Sean A. Irvine_, Nov 05 2014

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Last modified May 14 07:13 EDT 2021. Contains 343879 sequences. (Running on oeis4.)