A355190 -id:A355190 - cp's OEIS frontend

A355189 Factorial splitting: write n! = xyz with x <= y <= z and minimal z-x; sequence gives value of x.

1, 1, 1, 1, 2, 4, 8, 14, 32, 70, 140, 324, 768, 1800, 4368, 10800, 27300, 70560, 184800, 494208, 1343680, 3704400, 10388250, 29560960, 85250880, 249318000, 738720000, 2216160000, 6729074352, 20675655000, 64245312000, 201819656500, 640760440320

Offset: 0

Max Alekseyev, Jun 23 2022

nonn

Apparently we have x < y < z for all n > 9. If so, using strict inequalities x < y < z in the definition would make the sequence undefined for n < 3 and affect only a(9) by switching from 9! = 70*72*72 to 9! = 63*72*80.

Max Alekseyev, Table of n, a(n) for n = 0..100

Cf. A061030, A061031, A061032, A061033, A060776, A060777, A060795, A060796, A200743, A200744, A355190, A355191, A355192.

A355191 Factorial splitting: write n! = xyz with x <= y <= z and minimal z-x; sequence gives value of z.

Original entry on oeis.org

1, 1, 2, 3, 4, 6, 10, 20, 36, 72, 162, 352, 810, 1872, 4480, 11088, 27720, 71280, 186368, 496128, 1347192, 3720960, 10407936, 29576988, 85322160, 249500160, 738904320, 2216712960, 6732000000, 20680540160, 64257392640, 201852518400, 640832000000, 2055425699250, 6658777165824, 21781337550336

Offset: 0

Max Alekseyev, Jun 23 2022

nonn

Apparently we have x < y < z for all n > 9. If so, using strict inequalities x < y < z in the definition would make the sequence undefined for n < 3 and affect only a(9) by switching from 9! = 70*72*72 to 9! = 63*72*80.

Max Alekseyev, Table of n, a(n) for n = 0..100

Cf. A061030, A061031, A061032, A061033, A060776, A060777, A060795, A060796, A200743, A200744, A355189, A355190, A355192.

A355192 Factorial splitting: write n! = xyz with x <= y <= z and minimal z-x; sequence gives value of z-x.

Original entry on oeis.org

0, 0, 1, 2, 2, 2, 2, 6, 4, 2, 22, 28, 42, 72, 112, 288, 420, 720, 1568, 1920, 3512, 16560, 19686, 16028, 71280, 182160, 184320, 552960, 2925648, 4885160, 12080640, 32861900, 71559680, 77631750, 217165824, 604653336, 368858880, 4069377144, 7919402400, 17537715360, 87352688640, 127718553600

Offset: 0

Max Alekseyev, Jun 23 2022

nonn

a(n) <= A061033(n).
n=61 gives the smallest example where the value of x is not maximal (cf. A061030) and the value of z is not minimal.
Apparently we have x < y < z for all n > 9. If so, using strict inequalities x < y < z in the definition would make the sequence undefined for n < 3 and affect only a(9) by switching from 9! = 70*72*72 to 9! = 63*72*80.

Max Alekseyev, Table of n, a(n) for n = 0..100

Cf. A061030, A061031, A061032, A061033, A060776, A060777, A060795, A060796, A200743, A200744, A355189, A355190, A355191.

cp's OEIS Frontend

A355189 Factorial splitting: write n! = xyz with x <= y <= z and minimal z-x; sequence gives value of x.

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A355191 Factorial splitting: write n! = xyz with x <= y <= z and minimal z-x; sequence gives value of z.

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A355192 Factorial splitting: write n! = xyz with x <= y <= z and minimal z-x; sequence gives value of z-x.

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cp's OEIS Frontend

A355189 Factorial splitting: write n! = x*y*z with x <= y <= z and minimal z-x; sequence gives value of x.

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A355191 Factorial splitting: write n! = x*y*z with x <= y <= z and minimal z-x; sequence gives value of z.

Views

Author

Keywords

Comments

Links

Crossrefs

A355192 Factorial splitting: write n! = x*y*z with x <= y <= z and minimal z-x; sequence gives value of z-x.

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Author

Keywords

Comments

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A355189 Factorial splitting: write n! = xyz with x <= y <= z and minimal z-x; sequence gives value of x.

A355191 Factorial splitting: write n! = xyz with x <= y <= z and minimal z-x; sequence gives value of z.

A355192 Factorial splitting: write n! = xyz with x <= y <= z and minimal z-x; sequence gives value of z-x.