A348392 Row sums of the irregular triangle A348389.

2, 5, 13, 18, 36, 43, 67, 85, 115, 126, 186, 199, 241, 286, 350, 367, 457, 476, 576, 639, 705, 728, 896, 946, 1024, 1105, 1245, 1274, 1484, 1515, 1675, 1774, 1876, 1981, 2269, 2306, 2420, 2537, 2817

Offset

2,1

Links

Table of n, a(n) for n=2..40.

Formula

a(n) = Sum_{m=1.. A002541(n)} A348389(n, m), for n >= 2.

a(n) = A143127(n) - A000217(n).

a(n) = A348391(n) - A153485(n).

Example

n = 4: Compare the row of an array with all multiples of k <= n, for k = 1,2, ..., n with the row of A348389:
All multiples of k <= 4 for k = 1..4:  [1 2 3 4|2 4|3|4] with row sum A143127(4) = 23.
A348389 row 4: [2 3 4|4] with 1, 2, 3 and 4 missing: row sum is 23 - 4*5/2  = 13. Hence a(4) = A143127(4) - A000217(4).
Also: a(4) =  A348391(4) - A153485(4) = 18 - 5 = 13.

Crossrefs

Cf. A000217, A002541, A143127, A348389.

Sequence in context: A303281 A235204 A354706 * A264737 A045364 A045365

Adjacent sequences: A348389 A348390 A348391 * A348393 A348394 A348395

Keyword

nonn,easy

Author

Wolfdieter Lang, Oct 31 2021

Status

approved