A082607 -id:A082607 - cp's OEIS frontend

A082608 Squares pertaining to A082607. a(n) = A082607(n)*A082607(n+1)- 1.

1, 9, 49, 169, 441, 961, 1849, 3249, 2209, 441, 324, 1024, 2500, 5184, 9604, 16384, 17689, 12321, 8281, 24025, 185761, 700569, 58564, 5776, 20164, 13689, 11025, 37249, 94249, 77284, 29929, 14161, 5625, 1681, 2116, 10000, 30276, 40000, 117649

Offset: 0

Amarnath Murthy, Apr 28 2003

nonn

Cf. A082607, A082609, A082610, A082611, A082612.

Corrected and extended by R. J. Mathar, Nov 12 2006

A082609 Begin with 1 and then smallest number not included earlier such that a(n)*a(n+1) -1 is a cube.

Original entry on oeis.org

1, 2, 14, 9, 57, 2193, 3059049, 646785, 14861988225, 4007948400041, 227329891050248477628633, 253359999446098770547643849168025163162993, 294907355674806113726323566850834771401836431259814899322458665187277652242833

Offset: 0

Amarnath Murthy, Apr 28 2003

nonn

Sequence is infinite. a(n+1) <= {(a(n) - 1)^3 + 1}/a(n).

Cf. A082607, A082608, A082610.

Cf. A083203.

Corrected and extended by David Wasserman, Oct 18 2004

A082610 Cubes pertaining to A082609. a(n) = A082609(n)*A082609(n+1)- 1.

Original entry on oeis.org

1, 27, 125, 512, 125000, 6708494456, 1978547007464, 9612511054106624, 59566081927816931517224, 911126473116338231047175614119973952, 57596301070572648147987649881578568811888391304423063406302778568

Offset: 0

Amarnath Murthy, Apr 28 2003

nonn

Cf. A082607, A082608, A082609, A082611, A082612.

Corrected and extended by David Wasserman, Oct 19 2004

cp's OEIS Frontend

A082608 Squares pertaining to A082607. a(n) = A082607(n)*A082607(n+1)- 1.

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A082609 Begin with 1 and then smallest number not included earlier such that a(n)*a(n+1) -1 is a cube.

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Extensions

A082610 Cubes pertaining to A082609. a(n) = A082609(n)*A082609(n+1)- 1.

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