A396070 Decimal expansion of the expected number of rolls of a fair standard die until the total sum of all rolls is a square.

7, 0, 7, 9, 7, 6, 4, 2, 3, 7, 5, 5, 1, 1, 0, 5, 1, 0, 3, 8, 9, 5, 5, 5, 3, 0, 5, 6, 9, 0, 8, 1, 8, 4, 8, 9, 4, 6, 8, 1, 7, 1, 1, 4, 4, 4, 2, 6, 3, 2, 0, 8, 8, 0, 5, 9, 0, 8, 8, 7, 3, 1, 0, 1, 5, 1, 7, 2, 9, 3, 0, 3, 0, 6, 3, 6, 6, 5, 7, 2, 8, 9, 1, 5, 0, 6, 1, 9, 4, 4, 0, 2, 1, 5, 9, 2, 9, 5, 8, 6, 1, 4, 0, 6, 4

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..1018 (from the paper by Krityakierne and Thanatipanonda)

Matthew M. Conroy, A Collection of Dice Problems, 2026. See Problem 47, pp. 79-80.

Tipaluck Krityakierne and Thotsaporn Aek Thanatipanonda, High-Precision Framework for Expected Hitting Times Analysis in the Dice-Sum Process, arXiv:2604.23133 [math.PR], 2026.

Example

7.079764237551105103895553056908184894681711444263208...

Crossrefs

Cf. A000290, A370353.

Sequence in context: A202996 A019597 A096444 * A246918 A055957 A165090

Adjacent sequences: A396067 A396068 A396069 * A396071 A396072 A396073

Keyword

nonn,cons

Author

Amiram Eldar, May 15 2026

Status

approved