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 A194714 Sum of all odd-indexed parts minus the sum of all even-indexed parts of all partitions of n, with the parts written in nondecreasing order. 7
 1, 2, 3, 4, 5, 8, 9, 14, 18, 26, 32, 48, 57, 82, 102, 138, 169, 230, 278, 370, 450, 584, 709, 914, 1102, 1400, 1692, 2124, 2555, 3186, 3818, 4720, 5649, 6926, 8269, 10078, 11989, 14526, 17249, 20782, 24603, 29508, 34843, 41600, 49008, 58258, 68468, 81098 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS It appears that A066897 is also another version of this sequence but with the parts written in nonincreasing order. LINKS Alois P. Heinz, Table of n, a(n) for n = 1..1000 EXAMPLE a(6) = 37 - 29 = 8 because the partitions of 6 written in nondecreasing order are . .   6                        =  6 .   3  - 3                   =  0 .   2  - 4                   = -2 .   2  - 2  + 2              =  2 .   1  - 5                   = -4 .   1  - 2  + 3              =  2 .   1  - 1  + 4              =  4 .   1  - 1  + 2 - 2          =  0 .   1  - 1  + 1 - 3          = -2 .   1  - 1  + 1 - 1 + 2      =  2 .   1  - 1  + 1 - 1 + 1 - 1  =  0 ---------------------------------- .  20 - 21 + 14 - 7 + 3 - 1  =  8 CROSSREFS Cf. A066897, A135010, A138121, A141285, A194853. Sequence in context: A163077 A204810 A240080 * A054168 A301464 A085152 Adjacent sequences:  A194711 A194712 A194713 * A194715 A194716 A194717 KEYWORD nonn AUTHOR Omar E. Pol, Feb 12 2012 EXTENSIONS More terms from Alois P. Heinz, Feb 12 2012 STATUS approved

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Last modified December 3 23:53 EST 2020. Contains 338920 sequences. (Running on oeis4.)