A376684 Antidiagonal-sums of the absolute value of the array A376682(n,k) = n-th term of the k-th differences of the noncomposite numbers (A008578).

1, 3, 4, 9, 12, 27, 50, 109, 224, 471, 942, 1773, 3118, 4957, 7038, 9373, 16256, 55461, 150622, 346763, 718972, 1377101, 2462220, 4114987, 6387718, 9112455, 12051830, 17160117, 40946860, 134463917, 349105370, 800713921, 1684145408, 3297536923, 6040907554

Offset: 0

Author

Gus Wiseman, Oct 15 2024

Keywords

• nonn

Examples

			The fourth antidiagonal of A376682 is: (7, 2, 0, -1, -2), so a(4) = 12.
		

Crossrefs

For the modern primes (A000040) we have A376681, absolute version of A140119.

For firsts instead of row-sums we have A030016, modern A007442.

These are the antidiagonal-sums of the absolute value of A376682 (modern A095195).

This is the absolute version of A376683.

For first zero-positions we have A376855, modern A376678.

A000040 lists the modern primes, differences A001223, seconds A036263.

A008578 lists the noncomposites, first differences A075526.

Cf. A002808, A064113, A065890, A173390, A233671, A258025, A333214, A333254, A376680, A377033, A377037.

Programs

Mathematica

nn=12;
t=Table[Take[Differences[NestList[NestWhile[#+1&,#+1,!PrimeQ[#]&]&,1,2*nn],k],nn],{k,0,nn}];
Total/@Table[Abs[t[[j,i-j+1]]],{i,nn},{j,i}]