A128188 Row sums of A128187.
1, 2, 3, 5, 5, 9, 7, 13, 10, 17, 12, 23, 14, 27, 18, 32, 20, 38, 22, 44, 26, 48, 28, 56, 31, 60, 35, 66, 37, 74, 39, 80, 43, 84, 47, 93, 49, 97, 53, 105, 55, 113, 57, 119, 63, 123, 65, 133, 68, 139, 72, 145, 74, 153, 78, 161, 82, 165, 84, 177, 86, 181, 92, 188, 96, 196, 98, 202, 102, 210
Offset: 1
Keywords
Examples
a(6) = 9 = sum of row 6 terms of A128187: (3 + 3 + 1 + 1 + 1).
Programs
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Maple
A128188 := proc(n) add(A128187(n,k),k=1..n) ; end proc; # R. J. Mathar, Apr 16 2013 with(numtheory): A128188:=n->add(tau(n+2-2*i), i=1..floor((n+2)/2)): seq(A128188(n), n=1..100); # Wesley Ivan Hurt, Jul 12 2015
Formula
a(n) = Sum_{k=1..n} A128187(n,k).
a(n) = Sum_{i=1..floor((n+2)/2)} d(n+2-2i), where d(n) is the number of divisors of n. - Wesley Ivan Hurt, Jul 12 2015