Singmaster's conjecture states that all but one of the positive numbers in this construct appear a constant number of times.
Singmaster's conjecture states that all but one of the positive numbers in this construct appear a constant number of times. The sum of the values running along a "heel" of this entity equals its "toe," according to the Christmas Stocking Theorem. The time-space diagram of Rule 90 generates a modulo-two version of this construct called Sierpiński's sieve. The Fibonacci sequence can be generated by summing the shallow (*) diagonals of this construct. When expanding the expression x plus y, all to the nth power, the coefficients of the polynomial are given by the nth row of this construct. Entries in its nth row are generated by summing two values from its n minus one-th row. For 10 points, name this geometric array of numbers that is named for a 17th-century French mathematician.
Singmaster's conjecture states that all but one of the positive numbers in this construct appear a constant number of times.
Pascal's triangle [or Pascal Triangle; accept Yang Hui's triangle or Tartaglia's Triangle or Khayyam Triangle or KhayyamPascal Triangle]