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Omni-MATH / Boris was given a Connect Four game set for his birthday, but his…

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problem

Boris was given a Connect Four game set for his birthday, but his color-blindness makes it hard to play the game. Still, he enjoys the shapes he can make by dropping checkers into the set. If the number of shapes possible modulo (horizontal) flips about the vertical axis of symmetry is expressed as 9(1+2+⋯+n)9(1+2+\cdots+n), find nn.
Plain-text mathematical notation (without MathML)
Boris was given a Connect Four game set for his birthday, but his color-blindness makes it hard to play the game. Still, he enjoys the shapes he can make by dropping checkers into the set. If the number of shapes possible modulo (horizontal) flips about the vertical axis of symmetry is expressed as 9(1+2+⋯+n), find n.
Original LaTeX notation
Boris was given a Connect Four game set for his birthday, but his color-blindness makes it hard to play the game. Still, he enjoys the shapes he can make by dropping checkers into the set. If the number of shapes possible modulo (horizontal) flips about the vertical axis of symmetry is expressed as $9(1+2+\cdots+n)$, find $n$.

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Source and history

task_id
af043fa5-5f1f-5367-b9f3-5ae6f052be9b
task_key
test--af043fa5-5f1f-5367-b9f3-5ae6f052be9b
task_revision_id
1
config / split
/ test

Official source

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