i=1za + z + (2n − i)a + i . a−1 . To extend Han's formula to k-ary trees, one needs to find the appropriate extension of the generating function to general k.
Mar 19, 2009
Mar 21, 2011 � Abstract:Recently, Han obtained two hook length formulas for binary trees and asked for combinatorial proofs. One of Han's formulas has been�...
trees by Yang. Sagan has found a probabilistic proof of Yang's extension. We give. combinatorial proofs of Yang's formula for.
May 15, 2009 � In this paper, we present weight function formulas for k-ary trees, plane trees, plane forests, labeled trees and forests. We also find�...
Mar 19, 2009 � In this paper, we present formulas for k-ary trees, plane trees, plane forests, labeled trees and forests. We also find appropriate generating�...
Jul 29, 2011 � Abstract. Recently, Han obtained two hook length formulas for binary trees and asked for combinatorial proofs. One of Han's formulas has�...
Abstract. Recently Han obtained a general formula for the weight function corresponding to the expansion of a generating function in terms of hook lengths�...
Recently, Han obtained two hook length formulas for binary trees and asked for combinatorial proofs. One of Han's formulas has been generalized to k-ary trees..
Guo, Hook length formulas for trees by Han's expansion. •H. Shin, J. Zeng, An involution for symmetry of hook length and part length of partitions. • N�...
Recently, Han obtained two hook length formulas for binary trees and asked for combinatorial proofs. One of Han's formulas has been generalized to k-ary�...