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A359697 Triangle T(n,k), n >= 1, 1 <= k <= n, read by rows, where T(n,k) is carryless product n X k base 10.

%I A359697 #43 Mar 08 2023 23:17:35
%S A359697 1,2,4,3,6,9,4,8,2,6,5,0,5,0,5,6,2,8,4,0,6,7,4,1,8,5,2,9,8,6,4,2,0,8,
%T A359697 6,4,9,8,7,6,5,4,3,2,1,10,20,30,40,50,60,70,80,90,100,11,22,33,44,55,
%U A359697 66,77,88,99,110,121,12,24,36,48,50,62,74,86,98,120,132,144
%N A359697 Triangle T(n,k), n >= 1, 1 <= k <= n, read by rows, where T(n,k) is carryless product n X k base 10.
%H A359697 Seiichi Manyama, <a href="/A359697/b359697.txt">Rows n = 1..99, flattened</a>
%H A359697 David Applegate, Marc LeBrun and N. J. A. Sloane, <a href="http://neilsloane.com/doc/carry1.pdf">Carryless Arithmetic (I): The Mod 10 Version</a>.
%H A359697 <a href="/index/Ca#CARRYLESS">Index entries for sequences related to carryless arithmetic</a>
%e A359697 Triangle begins:
%e A359697    1;
%e A359697    2,  4;
%e A359697    3,  6,  9;
%e A359697    4,  8,  2,  6;
%e A359697    5,  0,  5,  0,  5;
%e A359697    6,  2,  8,  4,  0,  6;
%e A359697    7,  4,  1,  8,  5,  2,  9;
%e A359697    8,  6,  4,  2,  0,  8,  6,  4;
%e A359697    9,  8,  7,  6,  5,  4,  3,  2,  1;
%e A359697   10, 20, 30, 40, 50, 60, 70, 80, 90, 100;
%e A359697   11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121;
%e A359697   12, 24, 36, 48, 50, 62, 74, 86, 98, 120, 132, 144;
%o A359697 (PARI) T(n, k) = fromdigits(Vec(Pol(digits(n))*Pol(digits(k)))%10);
%Y A359697 T(n,n) gives A059729.
%Y A359697 Cf. A001477 for carryless 1 X n, A004520 for carryless 2 X n base 10, A055120 for carryless 9 X n, A008592 for carryless 10 X n, A059691 for carryless 12 X n.
%K A359697 nonn,tabl,base,look
%O A359697 1,2
%A A359697 _Seiichi Manyama_, Mar 08 2023