[seqfan] Re: In the vein of 103314

[Chai Wah Wu]

I think the first term of the n-th row should be n, as there are n distinct
roots of unity.
I got the following triangular table:

1
2, 3
3, 6, 10
4, 9, 16, 25
5, 15, 35, 70, 126
6, 19, 37, 61, 91, 127
7, 28, 84, 210, 462, 924, 1716
8, 33, 96, 225, 456, 833, 1408, 2241
9, 45, 163, 477, 1197, 2674, 5454, 10341, 18469
10, 51, 180, 501, 1131, 2221, 3951, 6531, 10201, 15231
11, 66, 286, 1001, 3003, 8008, 19448, 43758, 92378, 184756, 352716
12, 73, 253, 661, 1441, 2773, 4873, 7993, 12421, 18481, 26533, 36973

Chai Wah

----- Original message -----
From: Max Alekseyev <maxale at gmail.com>
Sent by: "SeqFan" <seqfan-bounces at list.seqfan.eu>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Cc:
Subject: [seqfan] Re: In the vein of 103314
Date: Thu, Dec 21, 2017 1:57 AM

Robert - yes, I agree.
It may be worth also to consider other number of terms in the sum, giving
raise to the table:
1,
1, 3,
1, 4, 10,
1, 5, 15, 25,
1, 6, 21, 56, 126,
1, 7, 28, 64, 100, 127,
1, 8, 36, 120, 330, 792, 1716,
1, 9, 45, 165, 495, 825, 1365, 2241,
1, 10, 55, 220, 715, 2002, 5005, 9724, 18469,

The proposed sequence forms the main diagonal in this table.

Regards,
Max