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A092283 Triangular array read by rows: T(n,k)=n+k^2, 1<=k<=n. 1

%I #12 Jun 24 2017 10:34:09

%S 2,3,6,4,7,12,5,8,13,20,6,9,14,21,30,7,10,15,22,31,42,8,11,16,23,32,

%T 43,56,9,12,17,24,33,44,57,72,10,13,18,25,34,45,58,73,90,11,14,19,26,

%U 35,46,59,74,91,110,12,15,20,27,36,47,60,75,92,111,132,13,16,21,28,37

%N Triangular array read by rows: T(n,k)=n+k^2, 1<=k<=n.

%C T(n,n) = A002378(n+1);

%C Sum(T(n,k):1<=k<=n) = A000330(n) + A000290(n).

%H Harvey P. Dale, <a href="/A092283/b092283.txt">Table of n, a(n) for n = 1..1000</a>

%e 2 ;

%e 3 6 ;

%e 4 7 12 ;

%e 5 8 13 20;

%e 6 9 14 21 30;

%e 7 10 15 22 31 42 ;

%e 8 11 16 23 32 43 56 ;

%e 9 12 17 24 33 44 57 72 ;

%e 10 13 18 25 34 45 58 73 90 ;

%e 11 14 19 26 35 46 59 74 91 110 ;

%t Table[n+k^2,{n,20},{k,n}]//Flatten (* _Harvey P. Dale_, Jun 24 2017 *)

%Y Cf. A101986 (row sums).

%K nonn,easy,tabl

%O 1,1

%A _Reinhard Zumkeller_, Jan 27 2004

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Last modified September 4 09:09 EDT 2024. Contains 375681 sequences. (Running on oeis4.)