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A368370
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AGM transform of triangular numbers.
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1
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0, 4, 514, 113920, 44084375, 28195584256, 28201577788944, 42039291307622400, 89651019067859485125, 264184676314240000000000, 1044528435971290465713291136, 5403748103160416506028643844096, 35801791315095649217787108688094375
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OFFSET
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1,2
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COMMENTS
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See A368366 for further information.
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LINKS
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FORMULA
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MATHEMATICA
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Table[Sum[k*(k+1)/2, {k, 1, n}]^n - n^n*Product[k*(k+1)/2, {k, 1, n}], {n, 1, 12}] (* Vaclav Kotesovec, Jan 24 2024 *)
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PROG
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(Python)
from math import comb, factorial
def A368370(n): return comb(n+2, 3)**n-(n**n*factorial(n)**2*(n+1)>>n) # Chai Wah Wu, Jan 25 2024
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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