A sequence S describing its partial sums

[Max A.]

On 8/14/06, franktaw at netscape.net <franktaw at netscape.net> wrote:

> a(a(n)) = sum_{k=1}^n a(k)

Oh, thanks for clarifying the definition.
I confirm all but last two terms in Eric's original message.
The first 100 terms of the sequence S are:

1, 3, 4, 8, 6, 22, 9, 16, 53, 11, 133, 13, 279, 15, 573, 69, 18, 1233,
20, 2486, 23, 44, 4995, 25, 10059, 27, 20145, 29, 40319, 31, 80669,
33, 161371, 35, 322777, 37, 645591, 39, 1291221, 41, 2582483, 43,
5165009, 5039, 46, 10335103, 48, 20670254, 50, 41340558, 52, 82681168,
122, 55, 165362513, 57, 330725083, 59, 661450225, 61, 1322900511, 63,
2645801085, 65, 5291602235, 67, 10583204537, 70, 1215, 21166409144,
72, 42332819575, 74, 84665639224, 76, 169331278524, 78, 338662557126,
80, 677325114332, 82, 1354650228746, 84, 2709300457576, 86,
5418600915238, 88, 10837201830564, 90, 21674403661218, 92,
43348807322528, 94, 86697614645150, 96, 173395229290396, 98,
346790458580890, 100, 693580917161880

Max