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A248374 The integer partition a(n) (compare A194602) has only the non-one addends n+1 and 2. 0

%I #21 Nov 28 2014 22:18:35

%S 3,5,8,12,18,25,36,49,67,90,121,158,209,271,351,450,577,731,928,1166,

%T 1464,1827,2277,2818,3487,4291,5272,6450,7880

%N The integer partition a(n) (compare A194602) has only the non-one addends n+1 and 2.

%C This sequence looks similar to A039899 = ..., 3, 5, 8, 12, 18, 25, 36, 49, 68, 91, ... . The differences of the corresponding values after 49 are 1, 1, 2, 4, 5, 7, 11, 14, 19, 26, 33, 43, 57, 70, 89, 113, 140, 172, 215, 261, 320, ... .

%H Tilman Piesk, <a href="https://oeis.org/A194602/a194602.txt">Table for A194602</a> (and the corresponding <a href="http://pastebin.com/bbnyz9uh">PHP array</a>)

%e a(7) = 36. The integer partition 36 is 8+2, as seen in the linked table (and PHP array).

%Y Cf. A194602, A039899.

%K nonn

%O 1,1

%A _Tilman Piesk_, Nov 10 2014

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