A324498 Decimal expansion of the real solution to x^2*(x-1)^3 = 1.

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

Offset

1,2

Comments

Asymptotic ratio of consecutive terms in A137402 for n -> infinity.

References

Donald E. Knuth, The Art of Computer Programming, Vol. 4, fascicle 1, section 7.1.4, p. 207, answer to exercise 126, Addison-Wesley, 2009.

Links

Table of n, a(n) for n=1..90.

Example

1.701606887181170833692216460855428822694647544928573584857782426376...

Mathematica

RealDigits[Root[x^2 (x-1)^3-1, 1], 10, 120][[1]] (* Harvey P. Dale, Nov 07 2022 *)

Prog

(PARI) solve(x=1, 2, x^2*(x-1)^3-1)

Crossrefs

Cf. A137356, A137357, A137358, A137402.

Sequence in context: A121570 A169681 A202354 * A391269 A243908 A186642

Adjacent sequences: A324495 A324496 A324497 * A324499 A324500 A324501

Keyword

nonn,cons

Author

Hugo Pfoertner, Mar 04 2019

Status

approved