A048201 Triangular array T read by rows: T(i,j)=b(i+1)-b(i+1-j); j=1,2,...,i; i=1,2,3,...; b=A004978.

1, 2, 3, 4, 6, 7, 5, 9, 11, 12, 8, 13, 17, 19, 20, 10, 18, 23, 27, 29, 30, 14, 24, 32, 37, 41, 43, 44, 15, 29, 39, 47, 52, 56, 58, 59, 16, 31, 45, 55, 63, 68, 72, 74, 75, 21, 37, 52, 66, 76, 84, 89, 93, 95, 96, 22, 43, 59, 74, 88, 98, 106, 111

Offset

1,2

Links

Table of n, a(n) for n=1..63.

Formula

T(n, 1)=least number not in any preceding row and T(n, k)=T(n, 1)+T(n-1, 1)+...+T(n-k+1, 1) for k >= 2.

Example

Rows: {1}, {2,3},{4,6,7}, ...

Crossrefs

T(n, 1)=c(n), where c=A002048.

T(n, n)=d(n), where d=A002049.

Sequence in context: A354901 A026236 A238862 * A186004 A056534 A297933

Adjacent sequences: A048198 A048199 A048200 * A048202 A048203 A048204

Keyword

nonn,tabl

Author

Clark Kimberling

Status

approved