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A259953 The sum (in nondecreasing order) of the two numbers in an amicable pair. 4

%I #28 Jul 15 2015 18:02:44

%S 504,2394,5544,10584,12600,21600,26880,35712,133920,138240,139104,

%T 157248,168480,224640,245520,262080,294840,311040,348192,357120,

%U 388800,399168,645624,698544,749952,756000,892800,955206,1017792,1048320,1270080,1296000,1296000,1315440,1347840,1451520,1522800,1666560,1781136,1879200,2041200

%N The sum (in nondecreasing order) of the two numbers in an amicable pair.

%C Also the common value of sigma(x) = sigma(y) of the amicable pairs (x < y) ordered by nondecreasing sum (x + y). See A259933.

%C Duplicates occur, e.g., a(32) = a(33) = 1296000.

%C Another version of A180164.

%C First differs from both A161005 and A180164 at a(9).

%F a(n) = A259933(2n-1) + A259933(2n) = A260086(n) + A260087(n).

%e ------------------------------------------

%e A m i c a b l e p a i r Sum

%e ------------------------------------------

%e n A260086(n) + A260087(n) = a(n)

%e ------------------------------------------

%e 1 220 284 504

%e 2 1184 1210 2394

%e 3 2620 2924 5544

%e 4 5020 5564 10584

%e 5 6232 6368 12600

%e 6 10744 10856 21600

%e 7 12285 14595 26880

%e 8 17296 18416 35712

%e 9 66928 66992 133920

%e 10 67095 71145 138240

%e 11 63020 76084 139104

%e 12 69615 87633 157248

%e ... ... ... ...

%e 32 609928 686072 1296000

%e 33 643336 652664 1296000

%e ...

%Y Cf. A000203, A063990, A161005, A180164, A259180, A259933, A260086, A260087.

%K nonn

%O 1,1

%A _Omar E. Pol_, Jul 10 2015

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Last modified April 23 22:36 EDT 2024. Contains 371917 sequences. (Running on oeis4.)