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A328637 Change the array in A125624 by putting a 1 at the top of the first column and pushing that column down by one place; a(n) is the sum of the terms in the modified array down to and including n, in the column that contains n. 2

%I #25 Dec 05 2019 19:52:04

%S 1,3,6,4,11,10,18,8,17,20,29,12,42,34,32,28,59,18,78,48,53,56,101,24,

%T 43,82,27,76,130,54,161,75,86,116,110,36,198,154,125,67,239,96,282,

%U 120,81,200,329,48,116,98,176,172,382,54,165,137,233,258,441

%N Change the array in A125624 by putting a 1 at the top of the first column and pushing that column down by one place; a(n) is the sum of the terms in the modified array down to and including n, in the column that contains n.

%H J. Stauduhar, <a href="/A328637/a328637_1.py.txt">Python program</a>

%e The modified version of the array A125624 is:

%e 1, 4, 8, 16, 32, 64, 128, 256, 512, ...

%e 2, 6, 9, 12, 18, 24, 27, 36, 48, ...

%e 3, 10, 15, 20, 25, 30, 40, 45, 50, ...

%e 5, 14, 21, 28, 35, 42, 49, 56, 63, ...

%e 7, 22, 33, 44, 55, 66, 77, 88, 99, ...

%e 11, 26, 39, 52, 65, 78, 91, 104, 117, ...

%e ...

%e Then:

%e a(1) = 1,

%e a(2) = 1+2,

%e a(3) = 1+2+3,

%e a(4) = 4,

%e a(5) = 1+2+3+5,

%e a(6) = 4+6,

%e ...

%Y Cf. A125624, A328638.

%K nonn,easy

%O 1,2

%A _J. Stauduhar_, Oct 22 2019

%E Edited by _N. J. A. Sloane_, Dec 05 2019

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