A371103 Array A read by upward antidiagonals in which the entry A(n,k) in row n and column k is defined by A(n, k) = A371092(A371102(n, k)), n,k >= 1.
1, 1, 2, 1, 3, 3, 1, 3, 3, 4, 1, 1, 1, 6, 5, 1, 1, 1, 9, 2, 6, 1, 1, 1, 1, 3, 9, 7, 1, 1, 1, 1, 3, 1, 6, 8, 1, 1, 1, 1, 1, 1, 8, 12, 9, 1, 1, 1, 1, 1, 1, 12, 18, 1, 10, 1, 1, 1, 1, 1, 1, 18, 27, 1, 15, 11, 1, 1, 1, 1, 1, 1, 27, 21, 1, 12, 9, 12, 1, 1, 1, 1, 1, 1, 21, 16, 1, 17, 7, 18, 13, 1, 1, 1, 1, 1, 1, 16, 23, 1, 4, 2, 27, 5, 14
Offset: 1
Examples
Array begins: n\k| 1 2 3 ... ---+-------------------------------------------------------------------- 1 | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 2 | 1, 3, 3, 6, 2, 9, 6, 12, 1, 15, 9, 18, 5, 21, 12, 24, 4, 3 | 1, 3, 1, 9, 3, 1, 8, 18, 1, 12, 7, 27, 2, 8, 17, 36, 5, 4 | 1, 1, 1, 1, 3, 1, 12, 27, 1, 17, 2, 21, 3, 12, 4, 54, 2, 5 | 1, 1, 1, 1, 1, 1, 18, 21, 1, 4, 2, 16, 3, 18, 5, 81, 3, 6 | 1, 1, 1, 1, 1, 1, 27, 16, 1, 5, 3, 23, 1, 27, 2, 16, 3, 7 | 1, 1, 1, 1, 1, 1, 21, 23, 1, 2, 3, 18, 1, 21, 3, 23, 1, 8 | 1, 1, 1, 1, 1, 1, 16, 18, 1, 3, 1, 26, 1, 16, 3, 18, 1, 9 | 1, 1, 1, 1, 1, 1, 23, 26, 1, 3, 1, 39, 1, 23, 1, 26, 1, 10 | 1, 1, 1, 1, 1, 1, 18, 39, 1, 1, 1, 30, 1, 18, 1, 39, 1, 11 | 1, 1, 1, 1, 1, 1, 26, 30, 1, 1, 1, 44, 1, 26, 1, 30, 1, 12 | 1, 1, 1, 1, 1, 1, 39, 44, 1, 1, 1, 66, 1, 39, 1, 44, 1, 13 | 1, 1, 1, 1, 1, 1, 30, 66, 1, 1, 1, 99, 1, 30, 1, 66, 1, 14 | 1, 1, 1, 1, 1, 1, 44, 99, 1, 1, 1, 75, 1, 44, 1, 99, 1, 15 | 1, 1, 1, 1, 1, 1, 66, 75, 1, 1, 1, 28, 1, 66, 1, 75, 1, 16 | 1, 1, 1, 1, 1, 1, 99, 28, 1, 1, 1, 42, 1, 99, 1, 28, 1, 17 | 1, 1, 1, 1, 1, 1, 75, 42, 1, 1, 1, 63, 1, 75, 1, 42, 1, 18 | 1, 1, 1, 1, 1, 1, 28, 63, 1, 1, 1, 48, 1, 28, 1, 63, 1, 19 | 1, 1, 1, 1, 1, 1, 42, 48, 1, 1, 1, 71, 1, 42, 1, 48, 1, 20 | 1, 1, 1, 1, 1, 1, 63, 71, 1, 1, 1, 54, 1, 63, 1, 71, 1, 21 | 1, 1, 1, 1, 1, 1, 48, 54, 1, 1, 1, 80, 1, 48, 1, 54, 1,
Programs
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PARI
up_to = 105; A000265(n) = (n>>valuation(n,2)); A371092(n) = floor((A000265(1+(3*n))+5)/6); A371094(n) = { my(m=1+3*n, e=valuation(m,2)); ((m*(2^e)) + (((4^e)-1)/3)); }; A371102sq(n,k) = if(1==n,4*k-1,A371094(A371102sq(n-1,k))); A371103sq(n,k) = A371092(A371102sq(n,k)); A371103list(up_to) = { my(v = vector(up_to), i=0); for(a=1,oo, for(col=1,a, i++; if(i > up_to, return(v)); v[i] = A371103sq((a-(col-1)),col))); (v); }; v371103 = A371103list(up_to); A371103(n) = v371103[n];
Comments