A049069 -id:A049069 - cp's OEIS frontend

A048472 Array T by antidiagonals, T(k,n)=(k+1)n2^(n-1)+1, n >= 0, k >= 1.

1, 2, 1, 5, 3, 1, 13, 9, 4, 1, 33, 25, 13, 5, 1, 81, 65, 37, 17, 6, 1, 193, 161, 97, 49, 21, 7, 1, 449, 385, 241, 129, 61, 25, 8, 1, 1025, 897, 577, 321, 161, 73, 29, 9, 1, 2305, 2049, 1345, 769, 401, 193, 85, 33, 10, 1, 5121, 4609, 3073

Offset: 0

Clark Kimberling

n-th difference of (T(k,n),T(k,n-1),...,T(k,0)) is (k+1)n, for n=1,2,3,...; k=0,1,2,...

			Antidiagonals: {1}; {2,1}; {5,3,1}; ...

See A049069 for transposed array.
Row 1 = (1, 2, 5, 13, 33, ...) = A005183.
Row 2 = (1, 3, 9, 25, 65, ...) = A002064.

PARI
```
T(n,k)=if(n<0 || k<1,0,k*n*2^(n-1)+1)
```

Better description from Michael Somos

A049513 Array T by antidiagonals: T(k,n) = kn2^(n-1) + 1, n >= 0, k >= 0.

Original entry on oeis.org

1, 1, 1, 1, 2, 1, 1, 3, 5, 1, 1, 4, 9, 13, 1, 1, 5, 13, 25, 33, 1, 1, 6, 17, 37, 65, 81, 1, 1, 7, 21, 49, 97, 161, 193, 1, 1, 8, 25, 61, 129, 241, 385, 449, 1, 1, 9, 29, 73, 161, 321, 577, 897, 1025, 1, 1, 10, 33, 85, 193, 401, 769, 1345, 2049, 2305, 1, 1, 11, 37, 97, 225, 481

Offset: 0

Michael Somos, Sep 25 1999

			Antidiagonals: 1; 1,1; 1,2,1; 1,3,5,1; 1,4,9,13,1; ...

Cf. A000337, A002064, A005183, A016813, A017533, A048474, A049069, A048472.

Essentially the same as A049069.

PARI
```
{T(k, n) = k * n * 2^(n-1) + 1}
```

A005183(n) = T(1, n), A002064(n) = T(2, n), A048474(n) = T(3, n), A000337(n) = T(4, n), A016813(n) = T(n, 2), A017533(n) = T(n, 3).

cp's OEIS Frontend

A048472 Array T by antidiagonals, T(k,n)=(k+1)n2^(n-1)+1, n >= 0, k >= 1.

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A049513 Array T by antidiagonals: T(k,n) = kn2^(n-1) + 1, n >= 0, k >= 0.

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Formula

cp's OEIS Frontend

A048472 Array T by antidiagonals, T(k,n)=(k+1)*n*2^(n-1)+1, n >= 0, k >= 1.

Views

Author

Keywords

Comments

Examples

Crossrefs

Programs

PARI

Extensions

A049513 Array T by antidiagonals: T(k,n) = k*n*2^(n-1) + 1, n >= 0, k >= 0.

Views

Author

Keywords

Examples

Crossrefs

Programs

PARI

Formula

A048472 Array T by antidiagonals, T(k,n)=(k+1)n2^(n-1)+1, n >= 0, k >= 1.

A049513 Array T by antidiagonals: T(k,n) = kn2^(n-1) + 1, n >= 0, k >= 0.