A089613 "The partial sums of the positions where T occurs in this sentence are one, eight, twentyfive, fortynine, eightythree, onehundredtwentysix, ..." (Variation of Aronson's sequence).

1, 8, 25, 49, 83, 126, 176, 241, 307, 377, 457, 547, 639, 746, 857, 988, 1124, 1273, 1427, 1598, 1786, 1995, 2225, 2472, 2723, 2995, 3276, 3568, 3882, 4202, 4526, 4868, 5214, 5569, 5932, 6310, 6690, 7078, 7485, 7896, 8317, 8761, 9211, 9665, 10143

Offset

1,2

References

A. J. Aronson, quoted by D. R. Hofstadter in Metamagical Themas, Basic Books, NY, 1985, p. 44.

Links

Table of n, a(n) for n=1..45.

Example

The sentence begins:
1234567890 1234567890 1234567890 1234567890 1234567890
Thepartial sumsofthep ositionswh ereToccurs inthissent
enceareone eighttwent yfivefourt ynineeight ythreeoneh
undredtwen tysixonehu ndredseven tysixtwohu ndredforty
onethreehu ndredseven threehundr edseventys evenfourhu
ndredfifty sevenfiveh undredfort ysevensixh undredthir
tynineseve nhundredfo rtysixeigh thundredfi ftysevenni

Crossrefs

Cf. A005224.

Sequence in context: A188819 A123605 A273743 * A344714 A164754 A204467

Adjacent sequences: A089610 A089611 A089612 * A089614 A089615 A089616

Keyword

base,easy,nonn,word

Author

Sam Alexander, Jan 03 2004; corrected Mar 01 2005

Status

approved