A064066 n-th step is to add a(n) to each previous number a(k) (excluding itself, i.e., k < n) to produce n more terms of the sequence, starting with a(0)=1, a(1)=1.

1, 1, 2, 3, 3, 4, 4, 5, 4, 4, 5, 6, 5, 5, 6, 7, 7, 5, 5, 6, 7, 7, 8, 6, 6, 7, 8, 8, 9, 9, 5, 5, 6, 7, 7, 8, 8, 9, 5, 5, 6, 7, 7, 8, 8, 9, 8, 6, 6, 7, 8, 8, 9, 9, 10, 9, 9, 7, 7, 8, 9, 9, 10, 10, 11, 10, 10, 11, 6, 6, 7, 8, 8, 9, 9, 10, 9, 9, 10, 11, 6, 6, 7, 8, 8, 9, 9, 10, 9, 9, 10, 11, 10, 7, 7, 8, 9, 9

Offset

0,3

Links

Table of n, a(n) for n=0..97.

Example

Start with (1,1). So after initial step have (1, *1*, 1+1 = 2), then (1, 1, *2*, 1+2 = 3, 1+2 = 3), then (1, 1, 2, *3*, 3, 1+3 = 4, 1+3 = 4, 2+3 = 5), then (1, 1, 2, 3, *3*, 4, 4, 5, 1+3 = 4, 1+3 = 4, 2+3 = 5, 3+3 = 6), etc.

Crossrefs

Each positive number appears A063894 number of times. Cf. A064064, A064065, A064067.

Sequence in context: A030396 A317658 A277615 * A297025 A325134 A218007

Adjacent sequences: A064063 A064064 A064065 * A064067 A064068 A064069

Keyword

nonn

Author

Henry Bottomley, Aug 31 2001

Status

approved