[seqfan] Re: Confused about A144204

Richard Mathar mathar at strw.leidenuniv.nl
Sat Jul 11 16:38:05 CEST 2009


In response to http://list.seqfan.eu/pipermail/seqfan/2009-July/001867.html
I submitted an update of http://research.att.com/~njas/sequences/A144204 with an explicit
tabular form in the examples section. The keyword:tabl isn't added yet:

> Subject: COMMENT FROM submitA R. J. Mathar A144204
> 
> This copy is just for your records.  No reply is expected.
>  
> %S A144204 1,1,0,1,1,3,1,2,5,8,1,3,7,11,15,1,4,9,14,19,24,1,5,11,17,23,29,
> %T A144204 35,1,6,13,20,27,34,41,48,1,7,15,23,31,39,47,55,63,1,8,17,26,35,44,
> %U A144204 53,62,71,80,1,9,19,29,39,49,59,69,79,89,99,1,10,21,32,43,54,65,76,87
> %V A144204 -1,-1,0,-1,1,3,-1,2,5,8,-1,3,7,11,15,-1,4,9,14,19,24,-1,5,11,17,23,29,
> %W A144204 35,-1,6,13,20,27,34,41,48,-1,7,15,23,31,39,47,55,63,-1,8,17,26,35,44,
> %X A144204 53,62,71,80,-1,9,19,29,39,49,59,69,79,89,99,-1,10,21,32,43,54,65,76,87
> %E A144204 Duplicate of 6th antidiagonal removed by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 10 2009
> %F A144204 Antidiagonal sum: sum_{n=1..d} A(d-n+1,n)=d*(d^2-2d-1)/2 = -A110427(d). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 10 2009]
> %e A144204 Contribution from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 10 2009: (Start)
> %e A144204 .-1...0...3...8..15..24..35..48..63..80..99.120.143.168
> %e A144204 .-1...1...5..11..19..29..41..55..71..89.109.131.155.181
> %e A144204 .-1...2...7..14..23..34..47..62..79..98.119.142.167.194
> %e A144204 .-1...3...9..17..27..39..53..69..87.107.129.153.179.207
> %e A144204 .-1...4..11..20..31..44..59..76..95.116.139.164.191.220
> %e A144204 .-1...5..13..23..35..49..65..83.103.125.149.175.203.233
> %e A144204 .-1...6..15..26..39..54..71..90.111.134.159.186.215.246
> %e A144204 .-1...7..17..29..43..59..77..97.119.143.169.197.227.259
> %e A144204 .-1...8..19..32..47..64..83.104.127.152.179.208.239.272
> %e A144204 .-1...9..21..35..51..69..89.111.135.161.189.219.251.285
> %e A144204 .-1..10..23..38..55..74..95.118.143.170.199.230.263.298
> %e A144204 .-1..11..25..41..59..79.101.125.151.179.209.241.275.311
> %e A144204 .-1..12..27..44..63..84.107.132.159.188.219.252.287.324
> %e A144204 .-1..13..29..47..67..89.113.139.167.197.229.263.299.337
> %e A144204 (End)
> %p A144204 A := proc(k,n) (n+k-2)*(n-1)-1 ; end: for d from 1 to 13 do for n from 1 to d do printf("%d,",A(d-n+1,n)) ; od: od: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 10 2009]




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